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Finding the Fourth Proportional to 3,952.81, 5,929.17 and 1,320.97

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Solution

The fourth proportional to 3,952.81, 5,929.17 and 1,320.97 is: 1,981.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.81 : 5,929.17 = 1,320.97 : x
  2. Step 2: Convert to fraction form
    3,952.81/5,929.17 = 1,320.97/x
  3. Step 3: Cross multiply
    3,952.81x = 5,929.17 × 1,320.97
  4. Step 4: Simplify right side
    3,952.81x = 7,832,255.69
  5. Step 5: Solve for x
    x = 7,832,255.69/3,952.81
  6. Step 6: Final answer
    x = 1,981.44

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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.