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Finding the Fourth Proportional to 1,649.91, 2,469.20 and 1,581.87

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Solution

The fourth proportional to 1,649.91, 2,469.20 and 1,581.87 is: 2,367.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.91 : 2,469.20 = 1,581.87 : x
  2. Step 2: Convert to fraction form
    1,649.91/2,469.20 = 1,581.87/x
  3. Step 3: Cross multiply
    1,649.91x = 2,469.20 × 1,581.87
  4. Step 4: Simplify right side
    1,649.91x = 3,905,945.49
  5. Step 5: Solve for x
    x = 3,905,945.49/1,649.91
  6. Step 6: Final answer
    x = 2,367.37

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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.