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Finding the Fourth Proportional to 3,429.14, 5,143.26 and 964.14

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Solution

The fourth proportional to 3,429.14, 5,143.26 and 964.14 is: 1,446.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.14 : 5,143.26 = 964.14 : x
  2. Step 2: Convert to fraction form
    3,429.14/5,143.26 = 964.14/x
  3. Step 3: Cross multiply
    3,429.14x = 5,143.26 × 964.14
  4. Step 4: Simplify right side
    3,429.14x = 4,958,822.70
  5. Step 5: Solve for x
    x = 4,958,822.70/3,429.14
  6. Step 6: Final answer
    x = 1,446.09

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1.5x scale

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.