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Finding the Fourth Proportional to 2,447.35, 3,671.56 and 803.82

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Solution

The fourth proportional to 2,447.35, 3,671.56 and 803.82 is: 1,205.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.35 : 3,671.56 = 803.82 : x
  2. Step 2: Convert to fraction form
    2,447.35/3,671.56 = 803.82/x
  3. Step 3: Cross multiply
    2,447.35x = 3,671.56 × 803.82
  4. Step 4: Simplify right side
    2,447.35x = 2,951,288.13
  5. Step 5: Solve for x
    x = 2,951,288.13/2,447.35
  6. Step 6: Final answer
    x = 1,205.91

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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.