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Finding the Fourth Proportional to 8,543.88, 12,816.48 and 3,281.42

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Solution

The fourth proportional to 8,543.88, 12,816.48 and 3,281.42 is: 4,922.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.88 : 12,816.48 = 3,281.42 : x
  2. Step 2: Convert to fraction form
    8,543.88/12,816.48 = 3,281.42/x
  3. Step 3: Cross multiply
    8,543.88x = 12,816.48 × 3,281.42
  4. Step 4: Simplify right side
    8,543.88x = 42,056,253.80
  5. Step 5: Solve for x
    x = 42,056,253.80/8,543.88
  6. Step 6: Final answer
    x = 4,922.38

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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.