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Finding the Fourth Proportional to 8,780.92, 13,221.13 and 7,747.72

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Solution

The fourth proportional to 8,780.92, 13,221.13 and 7,747.72 is: 11,665.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,780.92 : 13,221.13 = 7,747.72 : x
  2. Step 2: Convert to fraction form
    8,780.92/13,221.13 = 7,747.72/x
  3. Step 3: Cross multiply
    8,780.92x = 13,221.13 × 7,747.72
  4. Step 4: Simplify right side
    8,780.92x = 102,433,613.32
  5. Step 5: Solve for x
    x = 102,433,613.32/8,780.92
  6. Step 6: Final answer
    x = 11,665.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.