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Finding the Fourth Proportional to 3,429.87, 5,144.46 and 964.63

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Solution

The fourth proportional to 3,429.87, 5,144.46 and 964.63 is: 1,446.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.87 : 5,144.46 = 964.63 : x
  2. Step 2: Convert to fraction form
    3,429.87/5,144.46 = 964.63/x
  3. Step 3: Cross multiply
    3,429.87x = 5,144.46 × 964.63
  4. Step 4: Simplify right side
    3,429.87x = 4,962,500.45
  5. Step 5: Solve for x
    x = 4,962,500.45/3,429.87
  6. Step 6: Final answer
    x = 1,446.85

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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.