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Finding the Fourth Proportional to 1,974.57, 2,961.24 and 742.15

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Solution

The fourth proportional to 1,974.57, 2,961.24 and 742.15 is: 1,112.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.57 : 2,961.24 = 742.15 : x
  2. Step 2: Convert to fraction form
    1,974.57/2,961.24 = 742.15/x
  3. Step 3: Cross multiply
    1,974.57x = 2,961.24 × 742.15
  4. Step 4: Simplify right side
    1,974.57x = 2,197,684.27
  5. Step 5: Solve for x
    x = 2,197,684.27/1,974.57
  6. Step 6: Final answer
    x = 1,112.99

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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.