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Finding the Fourth Proportional to 3,987.28, 5,980.90 and 1,213.95

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Solution

The fourth proportional to 3,987.28, 5,980.90 and 1,213.95 is: 1,820.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.28 : 5,980.90 = 1,213.95 : x
  2. Step 2: Convert to fraction form
    3,987.28/5,980.90 = 1,213.95/x
  3. Step 3: Cross multiply
    3,987.28x = 5,980.90 × 1,213.95
  4. Step 4: Simplify right side
    3,987.28x = 7,260,513.56
  5. Step 5: Solve for x
    x = 7,260,513.56/3,987.28
  6. Step 6: Final answer
    x = 1,820.92

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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.