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Finding the Fourth Proportional to 21,702.32, 32,531.60 and 8,549.60

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Solution

The fourth proportional to 21,702.32, 32,531.60 and 8,549.60 is: 12,815.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702.32 : 32,531.60 = 8,549.60 : x
  2. Step 2: Convert to fraction form
    21,702.32/32,531.60 = 8,549.60/x
  3. Step 3: Cross multiply
    21,702.32x = 32,531.60 × 8,549.60
  4. Step 4: Simplify right side
    21,702.32x = 278,132,167.36
  5. Step 5: Solve for x
    x = 278,132,167.36/21,702.32
  6. Step 6: Final answer
    x = 12,815.78

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1.5x scale

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.