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Finding the Fourth Proportional to 27,005, 40,505.78 and 10,134.68

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Solution

The fourth proportional to 27,005, 40,505.78 and 10,134.68 is: 15,201.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,005 : 40,505.78 = 10,134.68 : x
  2. Step 2: Convert to fraction form
    27,005/40,505.78 = 10,134.68/x
  3. Step 3: Cross multiply
    27,005x = 40,505.78 × 10,134.68
  4. Step 4: Simplify right side
    27,005x = 410,513,118.45
  5. Step 5: Solve for x
    x = 410,513,118.45/27,005
  6. Step 6: Final answer
    x = 15,201.37

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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.