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Finding the Fourth Proportional to 7,987.98, 11,982.60 and 2,144.46

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Solution

The fourth proportional to 7,987.98, 11,982.60 and 2,144.46 is: 3,216.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,987.98 : 11,982.60 = 2,144.46 : x
  2. Step 2: Convert to fraction form
    7,987.98/11,982.60 = 2,144.46/x
  3. Step 3: Cross multiply
    7,987.98x = 11,982.60 × 2,144.46
  4. Step 4: Simplify right side
    7,987.98x = 25,696,206.40
  5. Step 5: Solve for x
    x = 25,696,206.40/7,987.98
  6. Step 6: Final answer
    x = 3,216.86

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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.