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Finding the Fourth Proportional to 20,806.08, 31,224 and 8,318.88

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Solution

The fourth proportional to 20,806.08, 31,224 and 8,318.88 is: 12,484.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,806.08 : 31,224 = 8,318.88 : x
  2. Step 2: Convert to fraction form
    20,806.08/31,224 = 8,318.88/x
  3. Step 3: Cross multiply
    20,806.08x = 31,224 × 8,318.88
  4. Step 4: Simplify right side
    20,806.08x = 259,748,709.12
  5. Step 5: Solve for x
    x = 259,748,709.12/20,806.08
  6. Step 6: Final answer
    x = 12,484.27

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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.