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Finding the Fourth Proportional to 2,679.90, 3,691.35 and 2,057.82

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Solution

The fourth proportional to 2,679.90, 3,691.35 and 2,057.82 is: 2,834.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.90 : 3,691.35 = 2,057.82 : x
  2. Step 2: Convert to fraction form
    2,679.90/3,691.35 = 2,057.82/x
  3. Step 3: Cross multiply
    2,679.90x = 3,691.35 × 2,057.82
  4. Step 4: Simplify right side
    2,679.90x = 7,596,133.86
  5. Step 5: Solve for x
    x = 7,596,133.86/2,679.90
  6. Step 6: Final answer
    x = 2,834.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.