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Finding the Fourth Proportional to 3,065.52, 4,229.88 and 1,739.28

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Solution

The fourth proportional to 3,065.52, 4,229.88 and 1,739.28 is: 2,399.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.52 : 4,229.88 = 1,739.28 : x
  2. Step 2: Convert to fraction form
    3,065.52/4,229.88 = 1,739.28/x
  3. Step 3: Cross multiply
    3,065.52x = 4,229.88 × 1,739.28
  4. Step 4: Simplify right side
    3,065.52x = 7,356,945.69
  5. Step 5: Solve for x
    x = 7,356,945.69/3,065.52
  6. Step 6: Final answer
    x = 2,399.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.