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Finding the Fourth Proportional to 2,841.43, 4,255.86 and 1,742.47

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Solution

The fourth proportional to 2,841.43, 4,255.86 and 1,742.47 is: 2,609.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.43 : 4,255.86 = 1,742.47 : x
  2. Step 2: Convert to fraction form
    2,841.43/4,255.86 = 1,742.47/x
  3. Step 3: Cross multiply
    2,841.43x = 4,255.86 × 1,742.47
  4. Step 4: Simplify right side
    2,841.43x = 7,415,708.37
  5. Step 5: Solve for x
    x = 7,415,708.37/2,841.43
  6. Step 6: Final answer
    x = 2,609.85

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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.