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Finding the Fourth Proportional to 6,978.80, 9,630.67 and 3,834.92

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Solution

The fourth proportional to 6,978.80, 9,630.67 and 3,834.92 is: 5,292.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.80 : 9,630.67 = 3,834.92 : x
  2. Step 2: Convert to fraction form
    6,978.80/9,630.67 = 3,834.92/x
  3. Step 3: Cross multiply
    6,978.80x = 9,630.67 × 3,834.92
  4. Step 4: Simplify right side
    6,978.80x = 36,932,781.67
  5. Step 5: Solve for x
    x = 36,932,781.67/6,978.80
  6. Step 6: Final answer
    x = 5,292.14

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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.