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Finding the Fourth Proportional to 2,690.87, 3,713.36 and 1,511.91

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Solution

The fourth proportional to 2,690.87, 3,713.36 and 1,511.91 is: 2,086.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.87 : 3,713.36 = 1,511.91 : x
  2. Step 2: Convert to fraction form
    2,690.87/3,713.36 = 1,511.91/x
  3. Step 3: Cross multiply
    2,690.87x = 3,713.36 × 1,511.91
  4. Step 4: Simplify right side
    2,690.87x = 5,614,269.90
  5. Step 5: Solve for x
    x = 5,614,269.90/2,690.87
  6. Step 6: Final answer
    x = 2,086.42

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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.