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Finding the Fourth Proportional to 15,862.72, 23,796 and 14,989.12

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Solution

The fourth proportional to 15,862.72, 23,796 and 14,989.12 is: 22,485.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,862.72 : 23,796 = 14,989.12 : x
  2. Step 2: Convert to fraction form
    15,862.72/23,796 = 14,989.12/x
  3. Step 3: Cross multiply
    15,862.72x = 23,796 × 14,989.12
  4. Step 4: Simplify right side
    15,862.72x = 356,681,099.52
  5. Step 5: Solve for x
    x = 356,681,099.52/15,862.72
  6. Step 6: Final answer
    x = 22,485.49

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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.