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Finding the Fourth Proportional to 8,311.53, 12,452.69 and 7,407.57

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Solution

The fourth proportional to 8,311.53, 12,452.69 and 7,407.57 is: 11,098.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.53 : 12,452.69 = 7,407.57 : x
  2. Step 2: Convert to fraction form
    8,311.53/12,452.69 = 7,407.57/x
  3. Step 3: Cross multiply
    8,311.53x = 12,452.69 × 7,407.57
  4. Step 4: Simplify right side
    8,311.53x = 92,244,135.83
  5. Step 5: Solve for x
    x = 92,244,135.83/8,311.53
  6. Step 6: Final answer
    x = 11,098.33

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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.