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Finding the Fourth Proportional to 7,772.60, 11,658.90 and 7,310.90

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Solution

The fourth proportional to 7,772.60, 11,658.90 and 7,310.90 is: 10,966.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.60 : 11,658.90 = 7,310.90 : x
  2. Step 2: Convert to fraction form
    7,772.60/11,658.90 = 7,310.90/x
  3. Step 3: Cross multiply
    7,772.60x = 11,658.90 × 7,310.90
  4. Step 4: Simplify right side
    7,772.60x = 85,237,052.01
  5. Step 5: Solve for x
    x = 85,237,052.01/7,772.60
  6. Step 6: Final answer
    x = 10,966.35

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Similar ratio
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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.