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Finding the Fourth Proportional to 11,699.78, 16,145.82 and 6,394.69

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Solution

The fourth proportional to 11,699.78, 16,145.82 and 6,394.69 is: 8,824.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,699.78 : 16,145.82 = 6,394.69 : x
  2. Step 2: Convert to fraction form
    11,699.78/16,145.82 = 6,394.69/x
  3. Step 3: Cross multiply
    11,699.78x = 16,145.82 × 6,394.69
  4. Step 4: Simplify right side
    11,699.78x = 103,247,473.33
  5. Step 5: Solve for x
    x = 103,247,473.33/11,699.78
  6. Step 6: Final answer
    x = 8,824.73

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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.