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Finding the Fourth Proportional to 2,687.47, 3,709.05 and 1,508.92

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Solution

The fourth proportional to 2,687.47, 3,709.05 and 1,508.92 is: 2,082.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.47 : 3,709.05 = 1,508.92 : x
  2. Step 2: Convert to fraction form
    2,687.47/3,709.05 = 1,508.92/x
  3. Step 3: Cross multiply
    2,687.47x = 3,709.05 × 1,508.92
  4. Step 4: Simplify right side
    2,687.47x = 5,596,659.73
  5. Step 5: Solve for x
    x = 5,596,659.73/2,687.47
  6. Step 6: Final answer
    x = 2,082.50

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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.