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Finding the Fourth Proportional to 2,191.71, 3,288.14 and 959.37

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Solution

The fourth proportional to 2,191.71, 3,288.14 and 959.37 is: 1,439.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.71 : 3,288.14 = 959.37 : x
  2. Step 2: Convert to fraction form
    2,191.71/3,288.14 = 959.37/x
  3. Step 3: Cross multiply
    2,191.71x = 3,288.14 × 959.37
  4. Step 4: Simplify right side
    2,191.71x = 3,154,542.87
  5. Step 5: Solve for x
    x = 3,154,542.87/2,191.71
  6. Step 6: Final answer
    x = 1,439.31

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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.