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Finding the Fourth Proportional to 13,251.79, 19,851.11 and 7,983.84

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Solution

The fourth proportional to 13,251.79, 19,851.11 and 7,983.84 is: 11,959.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,251.79 : 19,851.11 = 7,983.84 : x
  2. Step 2: Convert to fraction form
    13,251.79/19,851.11 = 7,983.84/x
  3. Step 3: Cross multiply
    13,251.79x = 19,851.11 × 7,983.84
  4. Step 4: Simplify right side
    13,251.79x = 158,488,086.06
  5. Step 5: Solve for x
    x = 158,488,086.06/13,251.79
  6. Step 6: Final answer
    x = 11,959.75

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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.