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Finding the Fourth Proportional to 8,138.80, 12,215.09 and 6,394.47

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Solution

The fourth proportional to 8,138.80, 12,215.09 and 6,394.47 is: 9,597.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.80 : 12,215.09 = 6,394.47 : x
  2. Step 2: Convert to fraction form
    8,138.80/12,215.09 = 6,394.47/x
  3. Step 3: Cross multiply
    8,138.80x = 12,215.09 × 6,394.47
  4. Step 4: Simplify right side
    8,138.80x = 78,109,026.55
  5. Step 5: Solve for x
    x = 78,109,026.55/8,138.80
  6. Step 6: Final answer
    x = 9,597.12

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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.