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Finding the Fourth Proportional to 12,614.87, 18,922.30 and 6,690.53

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Solution

The fourth proportional to 12,614.87, 18,922.30 and 6,690.53 is: 10,035.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.87 : 18,922.30 = 6,690.53 : x
  2. Step 2: Convert to fraction form
    12,614.87/18,922.30 = 6,690.53/x
  3. Step 3: Cross multiply
    12,614.87x = 18,922.30 × 6,690.53
  4. Step 4: Simplify right side
    12,614.87x = 126,600,246.40
  5. Step 5: Solve for x
    x = 126,600,246.40/12,614.87
  6. Step 6: Final answer
    x = 10,035.79

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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.