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Finding the Fourth Proportional to 7,761.60, 11,626.20 and 5,811.12

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Solution

The fourth proportional to 7,761.60, 11,626.20 and 5,811.12 is: 8,704.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.60 : 11,626.20 = 5,811.12 : x
  2. Step 2: Convert to fraction form
    7,761.60/11,626.20 = 5,811.12/x
  3. Step 3: Cross multiply
    7,761.60x = 11,626.20 × 5,811.12
  4. Step 4: Simplify right side
    7,761.60x = 67,561,243.34
  5. Step 5: Solve for x
    x = 67,561,243.34/7,761.60
  6. Step 6: Final answer
    x = 8,704.55

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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.