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Finding the Fourth Proportional to 2,473.78, 3,711.30 and 1,744.78

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Solution

The fourth proportional to 2,473.78, 3,711.30 and 1,744.78 is: 2,617.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.78 : 3,711.30 = 1,744.78 : x
  2. Step 2: Convert to fraction form
    2,473.78/3,711.30 = 1,744.78/x
  3. Step 3: Cross multiply
    2,473.78x = 3,711.30 × 1,744.78
  4. Step 4: Simplify right side
    2,473.78x = 6,475,402.01
  5. Step 5: Solve for x
    x = 6,475,402.01/2,473.78
  6. Step 6: Final answer
    x = 2,617.61

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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.