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Finding the Fourth Proportional to 1,841.76, 2,749.08 and 1,687.86

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Solution

The fourth proportional to 1,841.76, 2,749.08 and 1,687.86 is: 2,519.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.76 : 2,749.08 = 1,687.86 : x
  2. Step 2: Convert to fraction form
    1,841.76/2,749.08 = 1,687.86/x
  3. Step 3: Cross multiply
    1,841.76x = 2,749.08 × 1,687.86
  4. Step 4: Simplify right side
    1,841.76x = 4,640,062.17
  5. Step 5: Solve for x
    x = 4,640,062.17/1,841.76
  6. Step 6: Final answer
    x = 2,519.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.