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Finding the Fourth Proportional to 8,196.39, 12,294.59 and 7,378.09

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Solution

The fourth proportional to 8,196.39, 12,294.59 and 7,378.09 is: 11,067.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.39 : 12,294.59 = 7,378.09 : x
  2. Step 2: Convert to fraction form
    8,196.39/12,294.59 = 7,378.09/x
  3. Step 3: Cross multiply
    8,196.39x = 12,294.59 × 7,378.09
  4. Step 4: Simplify right side
    8,196.39x = 90,710,523.91
  5. Step 5: Solve for x
    x = 90,710,523.91/8,196.39
  6. Step 6: Final answer
    x = 11,067.13

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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.