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Finding the Fourth Proportional to 2,414.66, 3,620.76 and 1,115

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Solution

The fourth proportional to 2,414.66, 3,620.76 and 1,115 is: 1,671.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.66 : 3,620.76 = 1,115 : x
  2. Step 2: Convert to fraction form
    2,414.66/3,620.76 = 1,115/x
  3. Step 3: Cross multiply
    2,414.66x = 3,620.76 × 1,115
  4. Step 4: Simplify right side
    2,414.66x = 4,037,147.40
  5. Step 5: Solve for x
    x = 4,037,147.40/2,414.66
  6. Step 6: Final answer
    x = 1,671.93

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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.