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Finding the Fourth Proportional to 2,079.52, 3,119.28 and 540.52

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Solution

The fourth proportional to 2,079.52, 3,119.28 and 540.52 is: 810.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.52 : 3,119.28 = 540.52 : x
  2. Step 2: Convert to fraction form
    2,079.52/3,119.28 = 540.52/x
  3. Step 3: Cross multiply
    2,079.52x = 3,119.28 × 540.52
  4. Step 4: Simplify right side
    2,079.52x = 1,686,033.23
  5. Step 5: Solve for x
    x = 1,686,033.23/2,079.52
  6. Step 6: Final answer
    x = 810.78

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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.