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Finding the Fourth Proportional to 12,666.68, 18,974.10 and 7,456.76

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Solution

The fourth proportional to 12,666.68, 18,974.10 and 7,456.76 is: 11,169.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,666.68 : 18,974.10 = 7,456.76 : x
  2. Step 2: Convert to fraction form
    12,666.68/18,974.10 = 7,456.76/x
  3. Step 3: Cross multiply
    12,666.68x = 18,974.10 × 7,456.76
  4. Step 4: Simplify right side
    12,666.68x = 141,485,309.92
  5. Step 5: Solve for x
    x = 141,485,309.92/12,666.68
  6. Step 6: Final answer
    x = 11,169.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.