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Finding the Fourth Proportional to 6,778.16, 9,354.58 and 3,945.32

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Solution

The fourth proportional to 6,778.16, 9,354.58 and 3,945.32 is: 5,444.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.16 : 9,354.58 = 3,945.32 : x
  2. Step 2: Convert to fraction form
    6,778.16/9,354.58 = 3,945.32/x
  3. Step 3: Cross multiply
    6,778.16x = 9,354.58 × 3,945.32
  4. Step 4: Simplify right side
    6,778.16x = 36,906,811.57
  5. Step 5: Solve for x
    x = 36,906,811.57/6,778.16
  6. Step 6: Final answer
    x = 5,444.96

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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.