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Finding the Fourth Proportional to 21,702.35, 32,531.17 and 9,864.35

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Solution

The fourth proportional to 21,702.35, 32,531.17 and 9,864.35 is: 14,786.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702.35 : 32,531.17 = 9,864.35 : x
  2. Step 2: Convert to fraction form
    21,702.35/32,531.17 = 9,864.35/x
  3. Step 3: Cross multiply
    21,702.35x = 32,531.17 × 9,864.35
  4. Step 4: Simplify right side
    21,702.35x = 320,898,799.96
  5. Step 5: Solve for x
    x = 320,898,799.96/21,702.35
  6. Step 6: Final answer
    x = 14,786.36

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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.