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Finding the Fourth Proportional to 3,952.77, 5,928.46 and 1,319.97

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Solution

The fourth proportional to 3,952.77, 5,928.46 and 1,319.97 is: 1,979.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.77 : 5,928.46 = 1,319.97 : x
  2. Step 2: Convert to fraction form
    3,952.77/5,928.46 = 1,319.97/x
  3. Step 3: Cross multiply
    3,952.77x = 5,928.46 × 1,319.97
  4. Step 4: Simplify right side
    3,952.77x = 7,825,389.35
  5. Step 5: Solve for x
    x = 7,825,389.35/3,952.77
  6. Step 6: Final answer
    x = 1,979.72

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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.