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Finding the Fourth Proportional to 21,257.98, 31,888.28 and 6,468

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Solution

The fourth proportional to 21,257.98, 31,888.28 and 6,468 is: 9,702.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,257.98 : 31,888.28 = 6,468 : x
  2. Step 2: Convert to fraction form
    21,257.98/31,888.28 = 6,468/x
  3. Step 3: Cross multiply
    21,257.98x = 31,888.28 × 6,468
  4. Step 4: Simplify right side
    21,257.98x = 206,253,395.04
  5. Step 5: Solve for x
    x = 206,253,395.04/21,257.98
  6. Step 6: Final answer
    x = 9,702.40

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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.