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Finding the Fourth Proportional to 2,517.14, 3,774.85 and 956.77

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Solution

The fourth proportional to 2,517.14, 3,774.85 and 956.77 is: 1,434.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.14 : 3,774.85 = 956.77 : x
  2. Step 2: Convert to fraction form
    2,517.14/3,774.85 = 956.77/x
  3. Step 3: Cross multiply
    2,517.14x = 3,774.85 × 956.77
  4. Step 4: Simplify right side
    2,517.14x = 3,611,644.36
  5. Step 5: Solve for x
    x = 3,611,644.36/2,517.14
  6. Step 6: Final answer
    x = 1,434.82

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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.