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Finding the Fourth Proportional to 27,878.60, 41,819.22 and 8,905.25

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Solution

The fourth proportional to 27,878.60, 41,819.22 and 8,905.25 is: 13,358.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,878.60 : 41,819.22 = 8,905.25 : x
  2. Step 2: Convert to fraction form
    27,878.60/41,819.22 = 8,905.25/x
  3. Step 3: Cross multiply
    27,878.60x = 41,819.22 × 8,905.25
  4. Step 4: Simplify right side
    27,878.60x = 372,410,399.81
  5. Step 5: Solve for x
    x = 372,410,399.81/27,878.60
  6. Step 6: Final answer
    x = 13,358.29

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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.