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Finding the Fourth Proportional to 2,400.76, 3,604.50 and 1,231.61

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Solution

The fourth proportional to 2,400.76, 3,604.50 and 1,231.61 is: 1,849.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.76 : 3,604.50 = 1,231.61 : x
  2. Step 2: Convert to fraction form
    2,400.76/3,604.50 = 1,231.61/x
  3. Step 3: Cross multiply
    2,400.76x = 3,604.50 × 1,231.61
  4. Step 4: Simplify right side
    2,400.76x = 4,439,320.22
  5. Step 5: Solve for x
    x = 4,439,320.22/2,400.76
  6. Step 6: Final answer
    x = 1,849.13

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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.