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Finding the Fourth Proportional to 10,751.62, 16,112.67 and 7,988.71

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Solution

The fourth proportional to 10,751.62, 16,112.67 and 7,988.71 is: 11,972.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751.62 : 16,112.67 = 7,988.71 : x
  2. Step 2: Convert to fraction form
    10,751.62/16,112.67 = 7,988.71/x
  3. Step 3: Cross multiply
    10,751.62x = 16,112.67 × 7,988.71
  4. Step 4: Simplify right side
    10,751.62x = 128,719,447.96
  5. Step 5: Solve for x
    x = 128,719,447.96/10,751.62
  6. Step 6: Final answer
    x = 11,972.10

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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.