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Finding the Fourth Proportional to 3,115.29, 4,671.97 and 893.95

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Solution

The fourth proportional to 3,115.29, 4,671.97 and 893.95 is: 1,340.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.29 : 4,671.97 = 893.95 : x
  2. Step 2: Convert to fraction form
    3,115.29/4,671.97 = 893.95/x
  3. Step 3: Cross multiply
    3,115.29x = 4,671.97 × 893.95
  4. Step 4: Simplify right side
    3,115.29x = 4,176,507.58
  5. Step 5: Solve for x
    x = 4,176,507.58/3,115.29
  6. Step 6: Final answer
    x = 1,340.65

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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.