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Finding the Fourth Proportional to 5,171.92, 7,759.10 and 1,474.20

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Solution

The fourth proportional to 5,171.92, 7,759.10 and 1,474.20 is: 2,211.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.92 : 7,759.10 = 1,474.20 : x
  2. Step 2: Convert to fraction form
    5,171.92/7,759.10 = 1,474.20/x
  3. Step 3: Cross multiply
    5,171.92x = 7,759.10 × 1,474.20
  4. Step 4: Simplify right side
    5,171.92x = 11,438,477.25
  5. Step 5: Solve for x
    x = 11,438,477.25/5,171.92
  6. Step 6: Final answer
    x = 2,211.65

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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.