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Finding the Fourth Proportional to 21,706.60, 32,546.70 and 8,543.20

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Solution

The fourth proportional to 21,706.60, 32,546.70 and 8,543.20 is: 12,809.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,706.60 : 32,546.70 = 8,543.20 : x
  2. Step 2: Convert to fraction form
    21,706.60/32,546.70 = 8,543.20/x
  3. Step 3: Cross multiply
    21,706.60x = 32,546.70 × 8,543.20
  4. Step 4: Simplify right side
    21,706.60x = 278,052,967.44
  5. Step 5: Solve for x
    x = 278,052,967.44/21,706.60
  6. Step 6: Final answer
    x = 12,809.60

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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.