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Finding the Fourth Proportional to 15,732.57, 21,711 and 9,018.60

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Solution

The fourth proportional to 15,732.57, 21,711 and 9,018.60 is: 12,445.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,732.57 : 21,711 = 9,018.60 : x
  2. Step 2: Convert to fraction form
    15,732.57/21,711 = 9,018.60/x
  3. Step 3: Cross multiply
    15,732.57x = 21,711 × 9,018.60
  4. Step 4: Simplify right side
    15,732.57x = 195,802,824.60
  5. Step 5: Solve for x
    x = 195,802,824.60/15,732.57
  6. Step 6: Final answer
    x = 12,445.70

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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.