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Finding the Fourth Proportional to 3,981.28, 5,982 and 2,521.12

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Solution

The fourth proportional to 3,981.28, 5,982 and 2,521.12 is: 3,788.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.28 : 5,982 = 2,521.12 : x
  2. Step 2: Convert to fraction form
    3,981.28/5,982 = 2,521.12/x
  3. Step 3: Cross multiply
    3,981.28x = 5,982 × 2,521.12
  4. Step 4: Simplify right side
    3,981.28x = 15,081,339.84
  5. Step 5: Solve for x
    x = 15,081,339.84/3,981.28
  6. Step 6: Final answer
    x = 3,788.06

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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.