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Finding the Fourth Proportional to 6,365.96, 8,785.12 and 3,847.62

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Solution

The fourth proportional to 6,365.96, 8,785.12 and 3,847.62 is: 5,309.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.96 : 8,785.12 = 3,847.62 : x
  2. Step 2: Convert to fraction form
    6,365.96/8,785.12 = 3,847.62/x
  3. Step 3: Cross multiply
    6,365.96x = 8,785.12 × 3,847.62
  4. Step 4: Simplify right side
    6,365.96x = 33,801,841.17
  5. Step 5: Solve for x
    x = 33,801,841.17/6,365.96
  6. Step 6: Final answer
    x = 5,309.78

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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.