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Finding the Fourth Proportional to 12,198.69, 16,842.24 and 7,899.89

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Solution

The fourth proportional to 12,198.69, 16,842.24 and 7,899.89 is: 10,907.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.69 : 16,842.24 = 7,899.89 : x
  2. Step 2: Convert to fraction form
    12,198.69/16,842.24 = 7,899.89/x
  3. Step 3: Cross multiply
    12,198.69x = 16,842.24 × 7,899.89
  4. Step 4: Simplify right side
    12,198.69x = 133,051,759.14
  5. Step 5: Solve for x
    x = 133,051,759.14/12,198.69
  6. Step 6: Final answer
    x = 10,907.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.