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Finding the Fourth Proportional to 21,134.75, 31,706.98 and 6,343.95

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Solution

The fourth proportional to 21,134.75, 31,706.98 and 6,343.95 is: 9,517.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,134.75 : 31,706.98 = 6,343.95 : x
  2. Step 2: Convert to fraction form
    21,134.75/31,706.98 = 6,343.95/x
  3. Step 3: Cross multiply
    21,134.75x = 31,706.98 × 6,343.95
  4. Step 4: Simplify right side
    21,134.75x = 201,147,353.10
  5. Step 5: Solve for x
    x = 201,147,353.10/21,134.75
  6. Step 6: Final answer
    x = 9,517.38

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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.