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Finding the Fourth Proportional to 13,864, 20,808.48 and 9,410.88

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Solution

The fourth proportional to 13,864, 20,808.48 and 9,410.88 is: 14,124.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,864 : 20,808.48 = 9,410.88 : x
  2. Step 2: Convert to fraction form
    13,864/20,808.48 = 9,410.88/x
  3. Step 3: Cross multiply
    13,864x = 20,808.48 × 9,410.88
  4. Step 4: Simplify right side
    13,864x = 195,826,108.26
  5. Step 5: Solve for x
    x = 195,826,108.26/13,864
  6. Step 6: Final answer
    x = 14,124.79

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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.