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Finding the Fourth Proportional to 13,876.92, 20,815.02 and 6,477.30

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Solution

The fourth proportional to 13,876.92, 20,815.02 and 6,477.30 is: 9,715.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,876.92 : 20,815.02 = 6,477.30 : x
  2. Step 2: Convert to fraction form
    13,876.92/20,815.02 = 6,477.30/x
  3. Step 3: Cross multiply
    13,876.92x = 20,815.02 × 6,477.30
  4. Step 4: Simplify right side
    13,876.92x = 134,825,129.05
  5. Step 5: Solve for x
    x = 134,825,129.05/13,876.92
  6. Step 6: Final answer
    x = 9,715.78

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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.