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Finding the Fourth Proportional to 7,986.18, 11,978.30 and 2,143.20

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Solution

The fourth proportional to 7,986.18, 11,978.30 and 2,143.20 is: 3,214.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,986.18 : 11,978.30 = 2,143.20 : x
  2. Step 2: Convert to fraction form
    7,986.18/11,978.30 = 2,143.20/x
  3. Step 3: Cross multiply
    7,986.18x = 11,978.30 × 2,143.20
  4. Step 4: Simplify right side
    7,986.18x = 25,671,892.56
  5. Step 5: Solve for x
    x = 25,671,892.56/7,986.18
  6. Step 6: Final answer
    x = 3,214.54

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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.