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Finding the Fourth Proportional to 26,928.32, 40,398.47 and 8,209.81

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Solution

The fourth proportional to 26,928.32, 40,398.47 and 8,209.81 is: 12,316.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,928.32 : 40,398.47 = 8,209.81 : x
  2. Step 2: Convert to fraction form
    26,928.32/40,398.47 = 8,209.81/x
  3. Step 3: Cross multiply
    26,928.32x = 40,398.47 × 8,209.81
  4. Step 4: Simplify right side
    26,928.32x = 331,663,734.87
  5. Step 5: Solve for x
    x = 331,663,734.87/26,928.32
  6. Step 6: Final answer
    x = 12,316.54

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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.