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Finding the Fourth Proportional to 7,986.78, 11,978.52 and 2,142

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Solution

The fourth proportional to 7,986.78, 11,978.52 and 2,142 is: 3,212.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,986.78 : 11,978.52 = 2,142 : x
  2. Step 2: Convert to fraction form
    7,986.78/11,978.52 = 2,142/x
  3. Step 3: Cross multiply
    7,986.78x = 11,978.52 × 2,142
  4. Step 4: Simplify right side
    7,986.78x = 25,657,989.84
  5. Step 5: Solve for x
    x = 25,657,989.84/7,986.78
  6. Step 6: Final answer
    x = 3,212.56

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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.