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Finding the Fourth Proportional to 12,780, 17,641.68 and 8,472.96

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Solution

The fourth proportional to 12,780, 17,641.68 and 8,472.96 is: 11,696.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780 : 17,641.68 = 8,472.96 : x
  2. Step 2: Convert to fraction form
    12,780/17,641.68 = 8,472.96/x
  3. Step 3: Cross multiply
    12,780x = 17,641.68 × 8,472.96
  4. Step 4: Simplify right side
    12,780x = 149,477,248.97
  5. Step 5: Solve for x
    x = 149,477,248.97/12,780
  6. Step 6: Final answer
    x = 11,696.19

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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.