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Finding the Fourth Proportional to 2,472.85, 3,708.69 and 717.39

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Solution

The fourth proportional to 2,472.85, 3,708.69 and 717.39 is: 1,075.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.85 : 3,708.69 = 717.39 : x
  2. Step 2: Convert to fraction form
    2,472.85/3,708.69 = 717.39/x
  3. Step 3: Cross multiply
    2,472.85x = 3,708.69 × 717.39
  4. Step 4: Simplify right side
    2,472.85x = 2,660,577.12
  5. Step 5: Solve for x
    x = 2,660,577.12/2,472.85
  6. Step 6: Final answer
    x = 1,075.92

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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.