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Finding the Fourth Proportional to 12,367.86, 17,067.08 and 6,778.74

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Solution

The fourth proportional to 12,367.86, 17,067.08 and 6,778.74 is: 9,354.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,367.86 : 17,067.08 = 6,778.74 : x
  2. Step 2: Convert to fraction form
    12,367.86/17,067.08 = 6,778.74/x
  3. Step 3: Cross multiply
    12,367.86x = 17,067.08 × 6,778.74
  4. Step 4: Simplify right side
    12,367.86x = 115,693,297.88
  5. Step 5: Solve for x
    x = 115,693,297.88/12,367.86
  6. Step 6: Final answer
    x = 9,354.35

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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.