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Finding the Fourth Proportional to 8,158.57, 12,237.85 and 2,314.42

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Solution

The fourth proportional to 8,158.57, 12,237.85 and 2,314.42 is: 3,471.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,158.57 : 12,237.85 = 2,314.42 : x
  2. Step 2: Convert to fraction form
    8,158.57/12,237.85 = 2,314.42/x
  3. Step 3: Cross multiply
    8,158.57x = 12,237.85 × 2,314.42
  4. Step 4: Simplify right side
    8,158.57x = 28,323,524.80
  5. Step 5: Solve for x
    x = 28,323,524.80/8,158.57
  6. Step 6: Final answer
    x = 3,471.63

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Similar ratio
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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.