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Finding the Fourth Proportional to 13,471.86, 20,209.20 and 5,158.89

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Solution

The fourth proportional to 13,471.86, 20,209.20 and 5,158.89 is: 7,738.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.86 : 20,209.20 = 5,158.89 : x
  2. Step 2: Convert to fraction form
    13,471.86/20,209.20 = 5,158.89/x
  3. Step 3: Cross multiply
    13,471.86x = 20,209.20 × 5,158.89
  4. Step 4: Simplify right side
    13,471.86x = 104,257,039.79
  5. Step 5: Solve for x
    x = 104,257,039.79/13,471.86
  6. Step 6: Final answer
    x = 7,738.87

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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.