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Finding the Fourth Proportional to 8,543.60, 12,814.32 and 2,700.80

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Solution

The fourth proportional to 8,543.60, 12,814.32 and 2,700.80 is: 4,050.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.60 : 12,814.32 = 2,700.80 : x
  2. Step 2: Convert to fraction form
    8,543.60/12,814.32 = 2,700.80/x
  3. Step 3: Cross multiply
    8,543.60x = 12,814.32 × 2,700.80
  4. Step 4: Simplify right side
    8,543.60x = 34,608,915.46
  5. Step 5: Solve for x
    x = 34,608,915.46/8,543.60
  6. Step 6: Final answer
    x = 4,050.86

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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.