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Finding the Fourth Proportional to 13,874.54, 20,803.45 and 5,430.97

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Solution

The fourth proportional to 13,874.54, 20,803.45 and 5,430.97 is: 8,143.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.54 : 20,803.45 = 5,430.97 : x
  2. Step 2: Convert to fraction form
    13,874.54/20,803.45 = 5,430.97/x
  3. Step 3: Cross multiply
    13,874.54x = 20,803.45 × 5,430.97
  4. Step 4: Simplify right side
    13,874.54x = 112,982,912.85
  5. Step 5: Solve for x
    x = 112,982,912.85/13,874.54
  6. Step 6: Final answer
    x = 8,143.19

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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.