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Finding the Fourth Proportional to 3,959.52, 5,939.36 and 2,315.84

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Solution

The fourth proportional to 3,959.52, 5,939.36 and 2,315.84 is: 3,473.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.52 : 5,939.36 = 2,315.84 : x
  2. Step 2: Convert to fraction form
    3,959.52/5,939.36 = 2,315.84/x
  3. Step 3: Cross multiply
    3,959.52x = 5,939.36 × 2,315.84
  4. Step 4: Simplify right side
    3,959.52x = 13,754,607.46
  5. Step 5: Solve for x
    x = 13,754,607.46/3,959.52
  6. Step 6: Final answer
    x = 3,473.81

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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.