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Finding the Fourth Proportional to 8,239.69, 12,359.43 and 1,999.75

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Solution

The fourth proportional to 8,239.69, 12,359.43 and 1,999.75 is: 2,999.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.69 : 12,359.43 = 1,999.75 : x
  2. Step 2: Convert to fraction form
    8,239.69/12,359.43 = 1,999.75/x
  3. Step 3: Cross multiply
    8,239.69x = 12,359.43 × 1,999.75
  4. Step 4: Simplify right side
    8,239.69x = 24,715,770.14
  5. Step 5: Solve for x
    x = 24,715,770.14/8,239.69
  6. Step 6: Final answer
    x = 2,999.60

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1.5x scale

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.