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Finding the Fourth Proportional to 15,942, 22,001.96 and 9,572.16

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Solution

The fourth proportional to 15,942, 22,001.96 and 9,572.16 is: 13,210.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,942 : 22,001.96 = 9,572.16 : x
  2. Step 2: Convert to fraction form
    15,942/22,001.96 = 9,572.16/x
  3. Step 3: Cross multiply
    15,942x = 22,001.96 × 9,572.16
  4. Step 4: Simplify right side
    15,942x = 210,606,281.43
  5. Step 5: Solve for x
    x = 210,606,281.43/15,942
  6. Step 6: Final answer
    x = 13,210.78

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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.