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Finding the Fourth Proportional to 8,757.12, 12,078 and 5,613.60

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Solution

The fourth proportional to 8,757.12, 12,078 and 5,613.60 is: 7,742.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,757.12 : 12,078 = 5,613.60 : x
  2. Step 2: Convert to fraction form
    8,757.12/12,078 = 5,613.60/x
  3. Step 3: Cross multiply
    8,757.12x = 12,078 × 5,613.60
  4. Step 4: Simplify right side
    8,757.12x = 67,801,060.80
  5. Step 5: Solve for x
    x = 67,801,060.80/8,757.12
  6. Step 6: Final answer
    x = 7,742.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.