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Finding the Fourth Proportional to 21,758.50, 32,640.15 and 6,963.94

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Solution

The fourth proportional to 21,758.50, 32,640.15 and 6,963.94 is: 10,446.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,758.50 : 32,640.15 = 6,963.94 : x
  2. Step 2: Convert to fraction form
    21,758.50/32,640.15 = 6,963.94/x
  3. Step 3: Cross multiply
    21,758.50x = 32,640.15 × 6,963.94
  4. Step 4: Simplify right side
    21,758.50x = 227,304,046.19
  5. Step 5: Solve for x
    x = 227,304,046.19/21,758.50
  6. Step 6: Final answer
    x = 10,446.68

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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.