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Finding the Fourth Proportional to 8,278.74, 12,414.87 and 3,658.50

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Solution

The fourth proportional to 8,278.74, 12,414.87 and 3,658.50 is: 5,486.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.74 : 12,414.87 = 3,658.50 : x
  2. Step 2: Convert to fraction form
    8,278.74/12,414.87 = 3,658.50/x
  3. Step 3: Cross multiply
    8,278.74x = 12,414.87 × 3,658.50
  4. Step 4: Simplify right side
    8,278.74x = 45,419,801.90
  5. Step 5: Solve for x
    x = 45,419,801.90/8,278.74
  6. Step 6: Final answer
    x = 5,486.32

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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.