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Finding the Fourth Proportional to 27,443, 37,872.96 and 15,506.04

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Solution

The fourth proportional to 27,443, 37,872.96 and 15,506.04 is: 21,399.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,443 : 37,872.96 = 15,506.04 : x
  2. Step 2: Convert to fraction form
    27,443/37,872.96 = 15,506.04/x
  3. Step 3: Cross multiply
    27,443x = 37,872.96 × 15,506.04
  4. Step 4: Simplify right side
    27,443x = 587,259,632.68
  5. Step 5: Solve for x
    x = 587,259,632.68/27,443
  6. Step 6: Final answer
    x = 21,399.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.