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Finding the Fourth Proportional to 2,191.39, 3,283.44 and 956.95

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Solution

The fourth proportional to 2,191.39, 3,283.44 and 956.95 is: 1,433.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.39 : 3,283.44 = 956.95 : x
  2. Step 2: Convert to fraction form
    2,191.39/3,283.44 = 956.95/x
  3. Step 3: Cross multiply
    2,191.39x = 3,283.44 × 956.95
  4. Step 4: Simplify right side
    2,191.39x = 3,142,087.91
  5. Step 5: Solve for x
    x = 3,142,087.91/2,191.39
  6. Step 6: Final answer
    x = 1,433.83

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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.