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Finding the Fourth Proportional to 2,491.59, 3,738 and 736.59

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Solution

The fourth proportional to 2,491.59, 3,738 and 736.59 is: 1,105.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.59 : 3,738 = 736.59 : x
  2. Step 2: Convert to fraction form
    2,491.59/3,738 = 736.59/x
  3. Step 3: Cross multiply
    2,491.59x = 3,738 × 736.59
  4. Step 4: Simplify right side
    2,491.59x = 2,753,373.42
  5. Step 5: Solve for x
    x = 2,753,373.42/2,491.59
  6. Step 6: Final answer
    x = 1,105.07

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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.