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Finding the Fourth Proportional to 12,929.92, 17,847.66 and 8,398.78

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Solution

The fourth proportional to 12,929.92, 17,847.66 and 8,398.78 is: 11,593.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,929.92 : 17,847.66 = 8,398.78 : x
  2. Step 2: Convert to fraction form
    12,929.92/17,847.66 = 8,398.78/x
  3. Step 3: Cross multiply
    12,929.92x = 17,847.66 × 8,398.78
  4. Step 4: Simplify right side
    12,929.92x = 149,898,569.85
  5. Step 5: Solve for x
    x = 149,898,569.85/12,929.92
  6. Step 6: Final answer
    x = 11,593.16

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1.5x scale

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.