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Finding the Fourth Proportional to 3,952.73, 5,928.42 and 1,319.87

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Solution

The fourth proportional to 3,952.73, 5,928.42 and 1,319.87 is: 1,979.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.73 : 5,928.42 = 1,319.87 : x
  2. Step 2: Convert to fraction form
    3,952.73/5,928.42 = 1,319.87/x
  3. Step 3: Cross multiply
    3,952.73x = 5,928.42 × 1,319.87
  4. Step 4: Simplify right side
    3,952.73x = 7,824,743.71
  5. Step 5: Solve for x
    x = 7,824,743.71/3,952.73
  6. Step 6: Final answer
    x = 1,979.58

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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.