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Finding the Fourth Proportional to 3,431.53, 5,148.12 and 966.34

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Solution

The fourth proportional to 3,431.53, 5,148.12 and 966.34 is: 1,449.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.53 : 5,148.12 = 966.34 : x
  2. Step 2: Convert to fraction form
    3,431.53/5,148.12 = 966.34/x
  3. Step 3: Cross multiply
    3,431.53x = 5,148.12 × 966.34
  4. Step 4: Simplify right side
    3,431.53x = 4,974,834.28
  5. Step 5: Solve for x
    x = 4,974,834.28/3,431.53
  6. Step 6: Final answer
    x = 1,449.74

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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.