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Finding the Fourth Proportional to 26,823, 40,236.72 and 8,355

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Solution

The fourth proportional to 26,823, 40,236.72 and 8,355 is: 12,533.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,823 : 40,236.72 = 8,355 : x
  2. Step 2: Convert to fraction form
    26,823/40,236.72 = 8,355/x
  3. Step 3: Cross multiply
    26,823x = 40,236.72 × 8,355
  4. Step 4: Simplify right side
    26,823x = 336,177,795.60
  5. Step 5: Solve for x
    x = 336,177,795.60/26,823
  6. Step 6: Final answer
    x = 12,533.19

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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.