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Finding the Fourth Proportional to 3,426.97, 5,140.45 and 829.91

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Solution

The fourth proportional to 3,426.97, 5,140.45 and 829.91 is: 1,244.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.97 : 5,140.45 = 829.91 : x
  2. Step 2: Convert to fraction form
    3,426.97/5,140.45 = 829.91/x
  3. Step 3: Cross multiply
    3,426.97x = 5,140.45 × 829.91
  4. Step 4: Simplify right side
    3,426.97x = 4,266,085.16
  5. Step 5: Solve for x
    x = 4,266,085.16/3,426.97
  6. Step 6: Final answer
    x = 1,244.86

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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.