Home / 2,102.74-3,149.80-1,061.28

Finding the Fourth Proportional to 2,102.74, 3,149.80 and 1,061.28

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Solution

The fourth proportional to 2,102.74, 3,149.80 and 1,061.28 is: 1,589.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.74 : 3,149.80 = 1,061.28 : x
  2. Step 2: Convert to fraction form
    2,102.74/3,149.80 = 1,061.28/x
  3. Step 3: Cross multiply
    2,102.74x = 3,149.80 × 1,061.28
  4. Step 4: Simplify right side
    2,102.74x = 3,342,819.74
  5. Step 5: Solve for x
    x = 3,342,819.74/2,102.74
  6. Step 6: Final answer
    x = 1,589.74

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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.