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Finding the Fourth Proportional to 18,305.92, 25,264.32 and 11,229.76

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Solution

The fourth proportional to 18,305.92, 25,264.32 and 11,229.76 is: 15,498.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,305.92 : 25,264.32 = 11,229.76 : x
  2. Step 2: Convert to fraction form
    18,305.92/25,264.32 = 11,229.76/x
  3. Step 3: Cross multiply
    18,305.92x = 25,264.32 × 11,229.76
  4. Step 4: Simplify right side
    18,305.92x = 283,712,250.16
  5. Step 5: Solve for x
    x = 283,712,250.16/18,305.92
  6. Step 6: Final answer
    x = 15,498.39

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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.