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Finding the Fourth Proportional to 2,711.61, 4,067.87 and 956.12

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Solution

The fourth proportional to 2,711.61, 4,067.87 and 956.12 is: 1,434.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.61 : 4,067.87 = 956.12 : x
  2. Step 2: Convert to fraction form
    2,711.61/4,067.87 = 956.12/x
  3. Step 3: Cross multiply
    2,711.61x = 4,067.87 × 956.12
  4. Step 4: Simplify right side
    2,711.61x = 3,889,346.74
  5. Step 5: Solve for x
    x = 3,889,346.74/2,711.61
  6. Step 6: Final answer
    x = 1,434.33

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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.