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Finding the Fourth Proportional to 3,987.33, 5,977.13 and 2,233.18

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Solution

The fourth proportional to 3,987.33, 5,977.13 and 2,233.18 is: 3,347.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.33 : 5,977.13 = 2,233.18 : x
  2. Step 2: Convert to fraction form
    3,987.33/5,977.13 = 2,233.18/x
  3. Step 3: Cross multiply
    3,987.33x = 5,977.13 × 2,233.18
  4. Step 4: Simplify right side
    3,987.33x = 13,347,966.12
  5. Step 5: Solve for x
    x = 13,347,966.12/3,987.33
  6. Step 6: Final answer
    x = 3,347.60

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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.