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Finding the Fourth Proportional to 20,299.12, 30,404.94 and 9,889

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Solution

The fourth proportional to 20,299.12, 30,404.94 and 9,889 is: 14,812.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,299.12 : 30,404.94 = 9,889 : x
  2. Step 2: Convert to fraction form
    20,299.12/30,404.94 = 9,889/x
  3. Step 3: Cross multiply
    20,299.12x = 30,404.94 × 9,889
  4. Step 4: Simplify right side
    20,299.12x = 300,674,451.66
  5. Step 5: Solve for x
    x = 300,674,451.66/20,299.12
  6. Step 6: Final answer
    x = 14,812.19

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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.