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Finding the Fourth Proportional to 2,491.96, 3,737.22 and 760

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Solution

The fourth proportional to 2,491.96, 3,737.22 and 760 is: 1,139.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.96 : 3,737.22 = 760 : x
  2. Step 2: Convert to fraction form
    2,491.96/3,737.22 = 760/x
  3. Step 3: Cross multiply
    2,491.96x = 3,737.22 × 760
  4. Step 4: Simplify right side
    2,491.96x = 2,840,287.20
  5. Step 5: Solve for x
    x = 2,840,287.20/2,491.96
  6. Step 6: Final answer
    x = 1,139.78

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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.