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Finding the Fourth Proportional to 7,687.64, 11,531.46 and 5,500.64

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Solution

The fourth proportional to 7,687.64, 11,531.46 and 5,500.64 is: 8,250.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.64 : 11,531.46 = 5,500.64 : x
  2. Step 2: Convert to fraction form
    7,687.64/11,531.46 = 5,500.64/x
  3. Step 3: Cross multiply
    7,687.64x = 11,531.46 × 5,500.64
  4. Step 4: Simplify right side
    7,687.64x = 63,430,459.59
  5. Step 5: Solve for x
    x = 63,430,459.59/7,687.64
  6. Step 6: Final answer
    x = 8,250.96

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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.