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Finding the Fourth Proportional to 1,951.84, 2,691.12 and 1,577.44

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Solution

The fourth proportional to 1,951.84, 2,691.12 and 1,577.44 is: 2,174.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.84 : 2,691.12 = 1,577.44 : x
  2. Step 2: Convert to fraction form
    1,951.84/2,691.12 = 1,577.44/x
  3. Step 3: Cross multiply
    1,951.84x = 2,691.12 × 1,577.44
  4. Step 4: Simplify right side
    1,951.84x = 4,245,080.33
  5. Step 5: Solve for x
    x = 4,245,080.33/1,951.84
  6. Step 6: Final answer
    x = 2,174.91

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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.