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Finding the Fourth Proportional to 3,952.12, 5,927.52 and 1,321.45

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Solution

The fourth proportional to 3,952.12, 5,927.52 and 1,321.45 is: 1,981.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.12 : 5,927.52 = 1,321.45 : x
  2. Step 2: Convert to fraction form
    3,952.12/5,927.52 = 1,321.45/x
  3. Step 3: Cross multiply
    3,952.12x = 5,927.52 × 1,321.45
  4. Step 4: Simplify right side
    3,952.12x = 7,832,921.30
  5. Step 5: Solve for x
    x = 7,832,921.30/3,952.12
  6. Step 6: Final answer
    x = 1,981.95

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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.