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Finding the Fourth Proportional to 25,706.46, 38,472 and 21,551.16

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Solution

The fourth proportional to 25,706.46, 38,472 and 21,551.16 is: 32,253.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,706.46 : 38,472 = 21,551.16 : x
  2. Step 2: Convert to fraction form
    25,706.46/38,472 = 21,551.16/x
  3. Step 3: Cross multiply
    25,706.46x = 38,472 × 21,551.16
  4. Step 4: Simplify right side
    25,706.46x = 829,116,227.52
  5. Step 5: Solve for x
    x = 829,116,227.52/25,706.46
  6. Step 6: Final answer
    x = 32,253.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.