Home / 2,743-4,116.40-2,377.42

Finding the Fourth Proportional to 2,743, 4,116.40 and 2,377.42

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Solution

The fourth proportional to 2,743, 4,116.40 and 2,377.42 is: 3,567.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743 : 4,116.40 = 2,377.42 : x
  2. Step 2: Convert to fraction form
    2,743/4,116.40 = 2,377.42/x
  3. Step 3: Cross multiply
    2,743x = 4,116.40 × 2,377.42
  4. Step 4: Simplify right side
    2,743x = 9,786,411.69
  5. Step 5: Solve for x
    x = 9,786,411.69/2,743
  6. Step 6: Final answer
    x = 3,567.78

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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.