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Finding the Fourth Proportional to 12,906.48, 17,819.44 and 9,916.80

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Solution

The fourth proportional to 12,906.48, 17,819.44 and 9,916.80 is: 13,691.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906.48 : 17,819.44 = 9,916.80 : x
  2. Step 2: Convert to fraction form
    12,906.48/17,819.44 = 9,916.80/x
  3. Step 3: Cross multiply
    12,906.48x = 17,819.44 × 9,916.80
  4. Step 4: Simplify right side
    12,906.48x = 176,711,822.59
  5. Step 5: Solve for x
    x = 176,711,822.59/12,906.48
  6. Step 6: Final answer
    x = 13,691.71

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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.