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Finding the Fourth Proportional to 38,533, 53,175.60 and 20,869

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Solution

The fourth proportional to 38,533, 53,175.60 and 20,869 is: 28,799.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,533 : 53,175.60 = 20,869 : x
  2. Step 2: Convert to fraction form
    38,533/53,175.60 = 20,869/x
  3. Step 3: Cross multiply
    38,533x = 53,175.60 × 20,869
  4. Step 4: Simplify right side
    38,533x = 1,109,721,596.40
  5. Step 5: Solve for x
    x = 1,109,721,596.40/38,533
  6. Step 6: Final answer
    x = 28,799.25

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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.