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Finding the Fourth Proportional to 1,951.69, 2,691.92 and 1,242.84

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Solution

The fourth proportional to 1,951.69, 2,691.92 and 1,242.84 is: 1,714.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.69 : 2,691.92 = 1,242.84 : x
  2. Step 2: Convert to fraction form
    1,951.69/2,691.92 = 1,242.84/x
  3. Step 3: Cross multiply
    1,951.69x = 2,691.92 × 1,242.84
  4. Step 4: Simplify right side
    1,951.69x = 3,345,625.85
  5. Step 5: Solve for x
    x = 3,345,625.85/1,951.69
  6. Step 6: Final answer
    x = 1,714.22

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1.5x scale

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.