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Finding the Fourth Proportional to 5,165.76, 7,738.56 and 4,127.92

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Solution

The fourth proportional to 5,165.76, 7,738.56 and 4,127.92 is: 6,183.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.76 : 7,738.56 = 4,127.92 : x
  2. Step 2: Convert to fraction form
    5,165.76/7,738.56 = 4,127.92/x
  3. Step 3: Cross multiply
    5,165.76x = 7,738.56 × 4,127.92
  4. Step 4: Simplify right side
    5,165.76x = 31,944,156.60
  5. Step 5: Solve for x
    x = 31,944,156.60/5,165.76
  6. Step 6: Final answer
    x = 6,183.83

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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.