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Finding the Fourth Proportional to 9,708, 13,398.12 and 5,982

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Solution

The fourth proportional to 9,708, 13,398.12 and 5,982 is: 8,255.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708 : 13,398.12 = 5,982 : x
  2. Step 2: Convert to fraction form
    9,708/13,398.12 = 5,982/x
  3. Step 3: Cross multiply
    9,708x = 13,398.12 × 5,982
  4. Step 4: Simplify right side
    9,708x = 80,147,553.84
  5. Step 5: Solve for x
    x = 80,147,553.84/9,708
  6. Step 6: Final answer
    x = 8,255.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.