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Finding the Fourth Proportional to 3,079, 4,237.68 and 2,543.59

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Solution

The fourth proportional to 3,079, 4,237.68 and 2,543.59 is: 3,500.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,079 : 4,237.68 = 2,543.59 : x
  2. Step 2: Convert to fraction form
    3,079/4,237.68 = 2,543.59/x
  3. Step 3: Cross multiply
    3,079x = 4,237.68 × 2,543.59
  4. Step 4: Simplify right side
    3,079x = 10,778,920.47
  5. Step 5: Solve for x
    x = 10,778,920.47/3,079
  6. Step 6: Final answer
    x = 3,500.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.