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Finding the Fourth Proportional to 6,856.18, 10,287.39 and 6,745.62

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Solution

The fourth proportional to 6,856.18, 10,287.39 and 6,745.62 is: 10,121.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.18 : 10,287.39 = 6,745.62 : x
  2. Step 2: Convert to fraction form
    6,856.18/10,287.39 = 6,745.62/x
  3. Step 3: Cross multiply
    6,856.18x = 10,287.39 × 6,745.62
  4. Step 4: Simplify right side
    6,856.18x = 69,394,823.73
  5. Step 5: Solve for x
    x = 69,394,823.73/6,856.18
  6. Step 6: Final answer
    x = 10,121.50

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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.