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Finding the Fourth Proportional to 3,421.89, 5,132.79 and 956.70

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Solution

The fourth proportional to 3,421.89, 5,132.79 and 956.70 is: 1,435.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.89 : 5,132.79 = 956.70 : x
  2. Step 2: Convert to fraction form
    3,421.89/5,132.79 = 956.70/x
  3. Step 3: Cross multiply
    3,421.89x = 5,132.79 × 956.70
  4. Step 4: Simplify right side
    3,421.89x = 4,910,540.19
  5. Step 5: Solve for x
    x = 4,910,540.19/3,421.89
  6. Step 6: Final answer
    x = 1,435.04

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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.