Home / 1,649.75-2,471.85-1,161.90

Finding the Fourth Proportional to 1,649.75, 2,471.85 and 1,161.90

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Solution

The fourth proportional to 1,649.75, 2,471.85 and 1,161.90 is: 1,740.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.75 : 2,471.85 = 1,161.90 : x
  2. Step 2: Convert to fraction form
    1,649.75/2,471.85 = 1,161.90/x
  3. Step 3: Cross multiply
    1,649.75x = 2,471.85 × 1,161.90
  4. Step 4: Simplify right side
    1,649.75x = 2,872,042.52
  5. Step 5: Solve for x
    x = 2,872,042.52/1,649.75
  6. Step 6: Final answer
    x = 1,740.90

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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.