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Finding the Fourth Proportional to 6,778.80, 9,355.77 and 3,946.23

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Solution

The fourth proportional to 6,778.80, 9,355.77 and 3,946.23 is: 5,446.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.80 : 9,355.77 = 3,946.23 : x
  2. Step 2: Convert to fraction form
    6,778.80/9,355.77 = 3,946.23/x
  3. Step 3: Cross multiply
    6,778.80x = 9,355.77 × 3,946.23
  4. Step 4: Simplify right side
    6,778.80x = 36,920,020.25
  5. Step 5: Solve for x
    x = 36,920,020.25/6,778.80
  6. Step 6: Final answer
    x = 5,446.39

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1.5x scale

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.