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Finding the Fourth Proportional to 2,687.38, 3,709.11 and 1,508.38

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Solution

The fourth proportional to 2,687.38, 3,709.11 and 1,508.38 is: 2,081.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.38 : 3,709.11 = 1,508.38 : x
  2. Step 2: Convert to fraction form
    2,687.38/3,709.11 = 1,508.38/x
  3. Step 3: Cross multiply
    2,687.38x = 3,709.11 × 1,508.38
  4. Step 4: Simplify right side
    2,687.38x = 5,594,747.34
  5. Step 5: Solve for x
    x = 5,594,747.34/2,687.38
  6. Step 6: Final answer
    x = 2,081.86

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1.5x scale

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.