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Finding the Fourth Proportional to 5,123.60, 7,679.80 and 2,655.20

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Solution

The fourth proportional to 5,123.60, 7,679.80 and 2,655.20 is: 3,979.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.60 : 7,679.80 = 2,655.20 : x
  2. Step 2: Convert to fraction form
    5,123.60/7,679.80 = 2,655.20/x
  3. Step 3: Cross multiply
    5,123.60x = 7,679.80 × 2,655.20
  4. Step 4: Simplify right side
    5,123.60x = 20,391,404.96
  5. Step 5: Solve for x
    x = 20,391,404.96/5,123.60
  6. Step 6: Final answer
    x = 3,979.90

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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.