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Finding the Fourth Proportional to 6,808, 9,398.88 and 5,149.12

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Solution

The fourth proportional to 6,808, 9,398.88 and 5,149.12 is: 7,108.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808 : 9,398.88 = 5,149.12 : x
  2. Step 2: Convert to fraction form
    6,808/9,398.88 = 5,149.12/x
  3. Step 3: Cross multiply
    6,808x = 9,398.88 × 5,149.12
  4. Step 4: Simplify right side
    6,808x = 48,395,960.99
  5. Step 5: Solve for x
    x = 48,395,960.99/6,808
  6. Step 6: Final answer
    x = 7,108.69

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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.