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Finding the Fourth Proportional to 3,156.44, 4,734.68 and 965

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Solution

The fourth proportional to 3,156.44, 4,734.68 and 965 is: 1,447.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.44 : 4,734.68 = 965 : x
  2. Step 2: Convert to fraction form
    3,156.44/4,734.68 = 965/x
  3. Step 3: Cross multiply
    3,156.44x = 4,734.68 × 965
  4. Step 4: Simplify right side
    3,156.44x = 4,568,966.20
  5. Step 5: Solve for x
    x = 4,568,966.20/3,156.44
  6. Step 6: Final answer
    x = 1,447.51

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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.