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Finding the Fourth Proportional to 2,129.71, 3,194.64 and 959.53

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Solution

The fourth proportional to 2,129.71, 3,194.64 and 959.53 is: 1,439.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.71 : 3,194.64 = 959.53 : x
  2. Step 2: Convert to fraction form
    2,129.71/3,194.64 = 959.53/x
  3. Step 3: Cross multiply
    2,129.71x = 3,194.64 × 959.53
  4. Step 4: Simplify right side
    2,129.71x = 3,065,352.92
  5. Step 5: Solve for x
    x = 3,065,352.92/2,129.71
  6. Step 6: Final answer
    x = 1,439.33

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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.