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Finding the Fourth Proportional to 3,039.47, 4,559.42 and 959.57

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Solution

The fourth proportional to 3,039.47, 4,559.42 and 959.57 is: 1,439.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,039.47 : 4,559.42 = 959.57 : x
  2. Step 2: Convert to fraction form
    3,039.47/4,559.42 = 959.57/x
  3. Step 3: Cross multiply
    3,039.47x = 4,559.42 × 959.57
  4. Step 4: Simplify right side
    3,039.47x = 4,375,077.85
  5. Step 5: Solve for x
    x = 4,375,077.85/3,039.47
  6. Step 6: Final answer
    x = 1,439.42

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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.