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Finding the Fourth Proportional to 12,138.76, 16,747.86 and 7,418.20

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Solution

The fourth proportional to 12,138.76, 16,747.86 and 7,418.20 is: 10,234.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.76 : 16,747.86 = 7,418.20 : x
  2. Step 2: Convert to fraction form
    12,138.76/16,747.86 = 7,418.20/x
  3. Step 3: Cross multiply
    12,138.76x = 16,747.86 × 7,418.20
  4. Step 4: Simplify right side
    12,138.76x = 124,238,975.05
  5. Step 5: Solve for x
    x = 124,238,975.05/12,138.76
  6. Step 6: Final answer
    x = 10,234.90

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Double scale
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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.