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Finding the Fourth Proportional to 11,959.76, 17,949 and 8,287.76

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Solution

The fourth proportional to 11,959.76, 17,949 and 8,287.76 is: 12,438.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,959.76 : 17,949 = 8,287.76 : x
  2. Step 2: Convert to fraction form
    11,959.76/17,949 = 8,287.76/x
  3. Step 3: Cross multiply
    11,959.76x = 17,949 × 8,287.76
  4. Step 4: Simplify right side
    11,959.76x = 148,757,004.24
  5. Step 5: Solve for x
    x = 148,757,004.24/11,959.76
  6. Step 6: Final answer
    x = 12,438.13

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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.