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Finding the Fourth Proportional to 26,811.30, 40,204.80 and 10,165.80

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Solution

The fourth proportional to 26,811.30, 40,204.80 and 10,165.80 is: 15,244.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,811.30 : 40,204.80 = 10,165.80 : x
  2. Step 2: Convert to fraction form
    26,811.30/40,204.80 = 10,165.80/x
  3. Step 3: Cross multiply
    26,811.30x = 40,204.80 × 10,165.80
  4. Step 4: Simplify right side
    26,811.30x = 408,713,955.84
  5. Step 5: Solve for x
    x = 408,713,955.84/26,811.30
  6. Step 6: Final answer
    x = 15,244.09

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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.