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Finding the Fourth Proportional to 3,429.85, 5,143.96 and 964.90

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Solution

The fourth proportional to 3,429.85, 5,143.96 and 964.90 is: 1,447.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.85 : 5,143.96 = 964.90 : x
  2. Step 2: Convert to fraction form
    3,429.85/5,143.96 = 964.90/x
  3. Step 3: Cross multiply
    3,429.85x = 5,143.96 × 964.90
  4. Step 4: Simplify right side
    3,429.85x = 4,963,407.00
  5. Step 5: Solve for x
    x = 4,963,407.00/3,429.85
  6. Step 6: Final answer
    x = 1,447.12

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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.