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Finding the Fourth Proportional to 5,471.78, 8,207.67 and 3,277.76

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Solution

The fourth proportional to 5,471.78, 8,207.67 and 3,277.76 is: 4,916.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.78 : 8,207.67 = 3,277.76 : x
  2. Step 2: Convert to fraction form
    5,471.78/8,207.67 = 3,277.76/x
  3. Step 3: Cross multiply
    5,471.78x = 8,207.67 × 3,277.76
  4. Step 4: Simplify right side
    5,471.78x = 26,902,772.42
  5. Step 5: Solve for x
    x = 26,902,772.42/5,471.78
  6. Step 6: Final answer
    x = 4,916.64

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.