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Finding the Fourth Proportional to 16,711.92, 23,004 and 15,137.28

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Solution

The fourth proportional to 16,711.92, 23,004 and 15,137.28 is: 20,836.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,711.92 : 23,004 = 15,137.28 : x
  2. Step 2: Convert to fraction form
    16,711.92/23,004 = 15,137.28/x
  3. Step 3: Cross multiply
    16,711.92x = 23,004 × 15,137.28
  4. Step 4: Simplify right side
    16,711.92x = 348,217,989.12
  5. Step 5: Solve for x
    x = 348,217,989.12/16,711.92
  6. Step 6: Final answer
    x = 20,836.50

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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.