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Finding the Fourth Proportional to 20,199.72, 30,284.64 and 9,804

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Solution

The fourth proportional to 20,199.72, 30,284.64 and 9,804 is: 14,698.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,199.72 : 30,284.64 = 9,804 : x
  2. Step 2: Convert to fraction form
    20,199.72/30,284.64 = 9,804/x
  3. Step 3: Cross multiply
    20,199.72x = 30,284.64 × 9,804
  4. Step 4: Simplify right side
    20,199.72x = 296,910,610.56
  5. Step 5: Solve for x
    x = 296,910,610.56/20,199.72
  6. Step 6: Final answer
    x = 14,698.75

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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.