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Finding the Fourth Proportional to 3,387, 5,079.14 and 1,046.48

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Solution

The fourth proportional to 3,387, 5,079.14 and 1,046.48 is: 1,569.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,387 : 5,079.14 = 1,046.48 : x
  2. Step 2: Convert to fraction form
    3,387/5,079.14 = 1,046.48/x
  3. Step 3: Cross multiply
    3,387x = 5,079.14 × 1,046.48
  4. Step 4: Simplify right side
    3,387x = 5,315,218.43
  5. Step 5: Solve for x
    x = 5,315,218.43/3,387
  6. Step 6: Final answer
    x = 1,569.30

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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.