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Finding the Fourth Proportional to 8,225.67, 12,340.32 and 3,840.73

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Solution

The fourth proportional to 8,225.67, 12,340.32 and 3,840.73 is: 5,761.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,225.67 : 12,340.32 = 3,840.73 : x
  2. Step 2: Convert to fraction form
    8,225.67/12,340.32 = 3,840.73/x
  3. Step 3: Cross multiply
    8,225.67x = 12,340.32 × 3,840.73
  4. Step 4: Simplify right side
    8,225.67x = 47,395,837.23
  5. Step 5: Solve for x
    x = 47,395,837.23/8,225.67
  6. Step 6: Final answer
    x = 5,761.94

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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.