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Finding the Fourth Proportional to 3,742.60, 5,613.90 and 2,770.60

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Solution

The fourth proportional to 3,742.60, 5,613.90 and 2,770.60 is: 4,155.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.60 : 5,613.90 = 2,770.60 : x
  2. Step 2: Convert to fraction form
    3,742.60/5,613.90 = 2,770.60/x
  3. Step 3: Cross multiply
    3,742.60x = 5,613.90 × 2,770.60
  4. Step 4: Simplify right side
    3,742.60x = 15,553,871.34
  5. Step 5: Solve for x
    x = 15,553,871.34/3,742.60
  6. Step 6: Final answer
    x = 4,155.90

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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.