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Finding the Fourth Proportional to 38,642.88, 53,322.80 and 21,644.80

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Solution

The fourth proportional to 38,642.88, 53,322.80 and 21,644.80 is: 29,867.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,642.88 : 53,322.80 = 21,644.80 : x
  2. Step 2: Convert to fraction form
    38,642.88/53,322.80 = 21,644.80/x
  3. Step 3: Cross multiply
    38,642.88x = 53,322.80 × 21,644.80
  4. Step 4: Simplify right side
    38,642.88x = 1,154,161,341.44
  5. Step 5: Solve for x
    x = 1,154,161,341.44/38,642.88
  6. Step 6: Final answer
    x = 29,867.37

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.