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Finding the Fourth Proportional to 2,491.50, 3,737.23 and 642.61

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Solution

The fourth proportional to 2,491.50, 3,737.23 and 642.61 is: 963.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.50 : 3,737.23 = 642.61 : x
  2. Step 2: Convert to fraction form
    2,491.50/3,737.23 = 642.61/x
  3. Step 3: Cross multiply
    2,491.50x = 3,737.23 × 642.61
  4. Step 4: Simplify right side
    2,491.50x = 2,401,567.03
  5. Step 5: Solve for x
    x = 2,401,567.03/2,491.50
  6. Step 6: Final answer
    x = 963.90

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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.