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Finding the Fourth Proportional to 7,772.40, 11,687.40 and 6,505.20

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Solution

The fourth proportional to 7,772.40, 11,687.40 and 6,505.20 is: 9,781.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.40 : 11,687.40 = 6,505.20 : x
  2. Step 2: Convert to fraction form
    7,772.40/11,687.40 = 6,505.20/x
  3. Step 3: Cross multiply
    7,772.40x = 11,687.40 × 6,505.20
  4. Step 4: Simplify right side
    7,772.40x = 76,028,874.48
  5. Step 5: Solve for x
    x = 76,028,874.48/7,772.40
  6. Step 6: Final answer
    x = 9,781.90

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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.