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Finding the Fourth Proportional to 21,239.46, 31,863.78 and 6,449.49

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Solution

The fourth proportional to 21,239.46, 31,863.78 and 6,449.49 is: 9,675.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,239.46 : 31,863.78 = 6,449.49 : x
  2. Step 2: Convert to fraction form
    21,239.46/31,863.78 = 6,449.49/x
  3. Step 3: Cross multiply
    21,239.46x = 31,863.78 × 6,449.49
  4. Step 4: Simplify right side
    21,239.46x = 205,505,130.47
  5. Step 5: Solve for x
    x = 205,505,130.47/21,239.46
  6. Step 6: Final answer
    x = 9,675.63

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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.