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Finding the Fourth Proportional to 7,687.64, 11,531.48 and 5,935.21

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Solution

The fourth proportional to 7,687.64, 11,531.48 and 5,935.21 is: 8,902.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.64 : 11,531.48 = 5,935.21 : x
  2. Step 2: Convert to fraction form
    7,687.64/11,531.48 = 5,935.21/x
  3. Step 3: Cross multiply
    7,687.64x = 11,531.48 × 5,935.21
  4. Step 4: Simplify right side
    7,687.64x = 68,441,696.91
  5. Step 5: Solve for x
    x = 68,441,696.91/7,687.64
  6. Step 6: Final answer
    x = 8,902.82

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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.