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Finding the Fourth Proportional to 2,649.71, 3,974.57 and 1,005.87

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Solution

The fourth proportional to 2,649.71, 3,974.57 and 1,005.87 is: 1,508.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.71 : 3,974.57 = 1,005.87 : x
  2. Step 2: Convert to fraction form
    2,649.71/3,974.57 = 1,005.87/x
  3. Step 3: Cross multiply
    2,649.71x = 3,974.57 × 1,005.87
  4. Step 4: Simplify right side
    2,649.71x = 3,997,900.73
  5. Step 5: Solve for x
    x = 3,997,900.73/2,649.71
  6. Step 6: Final answer
    x = 1,508.81

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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.