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Finding the Fourth Proportional to 21,243.83, 31,865.83 and 6,452.87

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Solution

The fourth proportional to 21,243.83, 31,865.83 and 6,452.87 is: 9,679.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,243.83 : 31,865.83 = 6,452.87 : x
  2. Step 2: Convert to fraction form
    21,243.83/31,865.83 = 6,452.87/x
  3. Step 3: Cross multiply
    21,243.83x = 31,865.83 × 6,452.87
  4. Step 4: Simplify right side
    21,243.83x = 205,625,882.97
  5. Step 5: Solve for x
    x = 205,625,882.97/21,243.83
  6. Step 6: Final answer
    x = 9,679.32

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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.