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Finding the Fourth Proportional to 12,446.80, 18,645.15 and 6,187.87

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Solution

The fourth proportional to 12,446.80, 18,645.15 and 6,187.87 is: 9,269.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.80 : 18,645.15 = 6,187.87 : x
  2. Step 2: Convert to fraction form
    12,446.80/18,645.15 = 6,187.87/x
  3. Step 3: Cross multiply
    12,446.80x = 18,645.15 × 6,187.87
  4. Step 4: Simplify right side
    12,446.80x = 115,373,764.33
  5. Step 5: Solve for x
    x = 115,373,764.33/12,446.80
  6. Step 6: Final answer
    x = 9,269.35

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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.