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Finding the Fourth Proportional to 3,429.71, 5,144.57 and 832.63

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Solution

The fourth proportional to 3,429.71, 5,144.57 and 832.63 is: 1,248.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.71 : 5,144.57 = 832.63 : x
  2. Step 2: Convert to fraction form
    3,429.71/5,144.57 = 832.63/x
  3. Step 3: Cross multiply
    3,429.71x = 5,144.57 × 832.63
  4. Step 4: Simplify right side
    3,429.71x = 4,283,519.16
  5. Step 5: Solve for x
    x = 4,283,519.16/3,429.71
  6. Step 6: Final answer
    x = 1,248.95

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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.