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Finding the Fourth Proportional to 7,241.76, 10,861.20 and 3,542.40

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Solution

The fourth proportional to 7,241.76, 10,861.20 and 3,542.40 is: 5,312.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.76 : 10,861.20 = 3,542.40 : x
  2. Step 2: Convert to fraction form
    7,241.76/10,861.20 = 3,542.40/x
  3. Step 3: Cross multiply
    7,241.76x = 10,861.20 × 3,542.40
  4. Step 4: Simplify right side
    7,241.76x = 38,474,714.88
  5. Step 5: Solve for x
    x = 38,474,714.88/7,241.76
  6. Step 6: Final answer
    x = 5,312.90

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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.