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Finding the Fourth Proportional to 2,691.95, 4,037.93 and 843.21

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Solution

The fourth proportional to 2,691.95, 4,037.93 and 843.21 is: 1,264.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.95 : 4,037.93 = 843.21 : x
  2. Step 2: Convert to fraction form
    2,691.95/4,037.93 = 843.21/x
  3. Step 3: Cross multiply
    2,691.95x = 4,037.93 × 843.21
  4. Step 4: Simplify right side
    2,691.95x = 3,404,828.42
  5. Step 5: Solve for x
    x = 3,404,828.42/2,691.95
  6. Step 6: Final answer
    x = 1,264.82

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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.