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Finding the Fourth Proportional to 11,986.38, 17,970.54 and 8,278.02

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Solution

The fourth proportional to 11,986.38, 17,970.54 and 8,278.02 is: 12,410.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,986.38 : 17,970.54 = 8,278.02 : x
  2. Step 2: Convert to fraction form
    11,986.38/17,970.54 = 8,278.02/x
  3. Step 3: Cross multiply
    11,986.38x = 17,970.54 × 8,278.02
  4. Step 4: Simplify right side
    11,986.38x = 148,760,489.53
  5. Step 5: Solve for x
    x = 148,760,489.53/11,986.38
  6. Step 6: Final answer
    x = 12,410.79

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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.