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Finding the Fourth Proportional to 6,778.28, 9,352.64 and 3,946.11

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Solution

The fourth proportional to 6,778.28, 9,352.64 and 3,946.11 is: 5,444.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.28 : 9,352.64 = 3,946.11 : x
  2. Step 2: Convert to fraction form
    6,778.28/9,352.64 = 3,946.11/x
  3. Step 3: Cross multiply
    6,778.28x = 9,352.64 × 3,946.11
  4. Step 4: Simplify right side
    6,778.28x = 36,906,526.50
  5. Step 5: Solve for x
    x = 36,906,526.50/6,778.28
  6. Step 6: Final answer
    x = 5,444.83

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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.