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Finding the Fourth Proportional to 15,737.22, 21,715.56 and 9,021

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Solution

The fourth proportional to 15,737.22, 21,715.56 and 9,021 is: 12,447.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,737.22 : 21,715.56 = 9,021 : x
  2. Step 2: Convert to fraction form
    15,737.22/21,715.56 = 9,021/x
  3. Step 3: Cross multiply
    15,737.22x = 21,715.56 × 9,021
  4. Step 4: Simplify right side
    15,737.22x = 195,896,066.76
  5. Step 5: Solve for x
    x = 195,896,066.76/15,737.22
  6. Step 6: Final answer
    x = 12,447.95

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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.