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Finding the Fourth Proportional to 27,865.32, 41,806.68 and 8,144.32

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Solution

The fourth proportional to 27,865.32, 41,806.68 and 8,144.32 is: 12,219.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,865.32 : 41,806.68 = 8,144.32 : x
  2. Step 2: Convert to fraction form
    27,865.32/41,806.68 = 8,144.32/x
  3. Step 3: Cross multiply
    27,865.32x = 41,806.68 × 8,144.32
  4. Step 4: Simplify right side
    27,865.32x = 340,486,980.06
  5. Step 5: Solve for x
    x = 340,486,980.06/27,865.32
  6. Step 6: Final answer
    x = 12,219.02

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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.