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Finding the Fourth Proportional to 2,624.96, 3,937.42 and 775.92

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Solution

The fourth proportional to 2,624.96, 3,937.42 and 775.92 is: 1,163.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.96 : 3,937.42 = 775.92 : x
  2. Step 2: Convert to fraction form
    2,624.96/3,937.42 = 775.92/x
  3. Step 3: Cross multiply
    2,624.96x = 3,937.42 × 775.92
  4. Step 4: Simplify right side
    2,624.96x = 3,055,122.93
  5. Step 5: Solve for x
    x = 3,055,122.93/2,624.96
  6. Step 6: Final answer
    x = 1,163.87

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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.