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Finding the Fourth Proportional to 8,289.10, 12,425.55 and 7,414.30

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Solution

The fourth proportional to 8,289.10, 12,425.55 and 7,414.30 is: 11,114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.10 : 12,425.55 = 7,414.30 : x
  2. Step 2: Convert to fraction form
    8,289.10/12,425.55 = 7,414.30/x
  3. Step 3: Cross multiply
    8,289.10x = 12,425.55 × 7,414.30
  4. Step 4: Simplify right side
    8,289.10x = 92,126,755.37
  5. Step 5: Solve for x
    x = 92,126,755.37/8,289.10
  6. Step 6: Final answer
    x = 11,114.20

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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.