Home / 1,728.14-2,589.49-1,077.90

Finding the Fourth Proportional to 1,728.14, 2,589.49 and 1,077.90

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Solution

The fourth proportional to 1,728.14, 2,589.49 and 1,077.90 is: 1,615.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.14 : 2,589.49 = 1,077.90 : x
  2. Step 2: Convert to fraction form
    1,728.14/2,589.49 = 1,077.90/x
  3. Step 3: Cross multiply
    1,728.14x = 2,589.49 × 1,077.90
  4. Step 4: Simplify right side
    1,728.14x = 2,791,211.27
  5. Step 5: Solve for x
    x = 2,791,211.27/1,728.14
  6. Step 6: Final answer
    x = 1,615.15

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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.