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Finding the Fourth Proportional to 11,987.44, 17,965.64 and 8,283.76

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Solution

The fourth proportional to 11,987.44, 17,965.64 and 8,283.76 is: 12,414.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,987.44 : 17,965.64 = 8,283.76 : x
  2. Step 2: Convert to fraction form
    11,987.44/17,965.64 = 8,283.76/x
  3. Step 3: Cross multiply
    11,987.44x = 17,965.64 × 8,283.76
  4. Step 4: Simplify right side
    11,987.44x = 148,823,050.01
  5. Step 5: Solve for x
    x = 148,823,050.01/11,987.44
  6. Step 6: Final answer
    x = 12,414.92

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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.