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Finding the Fourth Proportional to 2,079.52, 3,117.09 and 829.62

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Solution

The fourth proportional to 2,079.52, 3,117.09 and 829.62 is: 1,243.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.52 : 3,117.09 = 829.62 : x
  2. Step 2: Convert to fraction form
    2,079.52/3,117.09 = 829.62/x
  3. Step 3: Cross multiply
    2,079.52x = 3,117.09 × 829.62
  4. Step 4: Simplify right side
    2,079.52x = 2,586,000.21
  5. Step 5: Solve for x
    x = 2,586,000.21/2,079.52
  6. Step 6: Final answer
    x = 1,243.56

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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.