Home / 1,649.68-2,471.97-1,099.87

Finding the Fourth Proportional to 1,649.68, 2,471.97 and 1,099.87

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Solution

The fourth proportional to 1,649.68, 2,471.97 and 1,099.87 is: 1,648.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.68 : 2,471.97 = 1,099.87 : x
  2. Step 2: Convert to fraction form
    1,649.68/2,471.97 = 1,099.87/x
  3. Step 3: Cross multiply
    1,649.68x = 2,471.97 × 1,099.87
  4. Step 4: Simplify right side
    1,649.68x = 2,718,845.64
  5. Step 5: Solve for x
    x = 2,718,845.64/1,649.68
  6. Step 6: Final answer
    x = 1,648.10

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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.