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Finding the Fourth Proportional to 9,708, 13,398.60 and 5,518.80

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Solution

The fourth proportional to 9,708, 13,398.60 and 5,518.80 is: 7,616.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708 : 13,398.60 = 5,518.80 : x
  2. Step 2: Convert to fraction form
    9,708/13,398.60 = 5,518.80/x
  3. Step 3: Cross multiply
    9,708x = 13,398.60 × 5,518.80
  4. Step 4: Simplify right side
    9,708x = 73,944,193.68
  5. Step 5: Solve for x
    x = 73,944,193.68/9,708
  6. Step 6: Final answer
    x = 7,616.83

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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.