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Finding the Fourth Proportional to 15,602.46, 21,542.67 and 9,642.30

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Solution

The fourth proportional to 15,602.46, 21,542.67 and 9,642.30 is: 13,313.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,602.46 : 21,542.67 = 9,642.30 : x
  2. Step 2: Convert to fraction form
    15,602.46/21,542.67 = 9,642.30/x
  3. Step 3: Cross multiply
    15,602.46x = 21,542.67 × 9,642.30
  4. Step 4: Simplify right side
    15,602.46x = 207,720,886.94
  5. Step 5: Solve for x
    x = 207,720,886.94/15,602.46
  6. Step 6: Final answer
    x = 13,313.34

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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.