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Finding the Fourth Proportional to 26,939.42, 40,409.79 and 9,170.05

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Solution

The fourth proportional to 26,939.42, 40,409.79 and 9,170.05 is: 13,755.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,939.42 : 40,409.79 = 9,170.05 : x
  2. Step 2: Convert to fraction form
    26,939.42/40,409.79 = 9,170.05/x
  3. Step 3: Cross multiply
    26,939.42x = 40,409.79 × 9,170.05
  4. Step 4: Simplify right side
    26,939.42x = 370,559,592.74
  5. Step 5: Solve for x
    x = 370,559,592.74/26,939.42
  6. Step 6: Final answer
    x = 13,755.29

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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.