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Finding the Fourth Proportional to 7,178.76, 9,906.84 and 4,194.12

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Solution

The fourth proportional to 7,178.76, 9,906.84 and 4,194.12 is: 5,787.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.76 : 9,906.84 = 4,194.12 : x
  2. Step 2: Convert to fraction form
    7,178.76/9,906.84 = 4,194.12/x
  3. Step 3: Cross multiply
    7,178.76x = 9,906.84 × 4,194.12
  4. Step 4: Simplify right side
    7,178.76x = 41,550,475.78
  5. Step 5: Solve for x
    x = 41,550,475.78/7,178.76
  6. Step 6: Final answer
    x = 5,787.97

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Half scale
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Double scale
Find fourth proportional to 7,179.76, 9,908.22 and 4,195.12
Similar ratio
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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.