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Finding the Fourth Proportional to 12,187.74, 16,819.47 and 7,476.78

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Solution

The fourth proportional to 12,187.74, 16,819.47 and 7,476.78 is: 10,318.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.74 : 16,819.47 = 7,476.78 : x
  2. Step 2: Convert to fraction form
    12,187.74/16,819.47 = 7,476.78/x
  3. Step 3: Cross multiply
    12,187.74x = 16,819.47 × 7,476.78
  4. Step 4: Simplify right side
    12,187.74x = 125,755,476.91
  5. Step 5: Solve for x
    x = 125,755,476.91/12,187.74
  6. Step 6: Final answer
    x = 10,318.19

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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.