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Finding the Fourth Proportional to 1,943.11, 2,912.91 and 709.66

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Solution

The fourth proportional to 1,943.11, 2,912.91 and 709.66 is: 1,063.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943.11 : 2,912.91 = 709.66 : x
  2. Step 2: Convert to fraction form
    1,943.11/2,912.91 = 709.66/x
  3. Step 3: Cross multiply
    1,943.11x = 2,912.91 × 709.66
  4. Step 4: Simplify right side
    1,943.11x = 2,067,175.71
  5. Step 5: Solve for x
    x = 2,067,175.71/1,943.11
  6. Step 6: Final answer
    x = 1,063.85

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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.