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Finding the Fourth Proportional to 27,058, 37,344.72 and 15,728.80

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Solution

The fourth proportional to 27,058, 37,344.72 and 15,728.80 is: 21,708.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,058 : 37,344.72 = 15,728.80 : x
  2. Step 2: Convert to fraction form
    27,058/37,344.72 = 15,728.80/x
  3. Step 3: Cross multiply
    27,058x = 37,344.72 × 15,728.80
  4. Step 4: Simplify right side
    27,058x = 587,387,631.94
  5. Step 5: Solve for x
    x = 587,387,631.94/27,058
  6. Step 6: Final answer
    x = 21,708.46

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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.