Home / 1,649.76-2,471.27-1,102.20

Finding the Fourth Proportional to 1,649.76, 2,471.27 and 1,102.20

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Solution

The fourth proportional to 1,649.76, 2,471.27 and 1,102.20 is: 1,651.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.76 : 2,471.27 = 1,102.20 : x
  2. Step 2: Convert to fraction form
    1,649.76/2,471.27 = 1,102.20/x
  3. Step 3: Cross multiply
    1,649.76x = 2,471.27 × 1,102.20
  4. Step 4: Simplify right side
    1,649.76x = 2,723,828.28
  5. Step 5: Solve for x
    x = 2,723,828.28/1,649.76
  6. Step 6: Final answer
    x = 1,651.05

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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.