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Finding the Fourth Proportional to 13,471.74, 20,211.61 and 6,902.54

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Solution

The fourth proportional to 13,471.74, 20,211.61 and 6,902.54 is: 10,355.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.74 : 20,211.61 = 6,902.54 : x
  2. Step 2: Convert to fraction form
    13,471.74/20,211.61 = 6,902.54/x
  3. Step 3: Cross multiply
    13,471.74x = 20,211.61 × 6,902.54
  4. Step 4: Simplify right side
    13,471.74x = 139,511,446.49
  5. Step 5: Solve for x
    x = 139,511,446.49/13,471.74
  6. Step 6: Final answer
    x = 10,355.86

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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.