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Finding the Fourth Proportional to 21,702.80, 32,543.42 and 6,909.78

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Solution

The fourth proportional to 21,702.80, 32,543.42 and 6,909.78 is: 10,361.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702.80 : 32,543.42 = 6,909.78 : x
  2. Step 2: Convert to fraction form
    21,702.80/32,543.42 = 6,909.78/x
  3. Step 3: Cross multiply
    21,702.80x = 32,543.42 × 6,909.78
  4. Step 4: Simplify right side
    21,702.80x = 224,867,872.65
  5. Step 5: Solve for x
    x = 224,867,872.65/21,702.80
  6. Step 6: Final answer
    x = 10,361.24

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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.