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Finding the Fourth Proportional to 18,058, 27,062.40 and 10,164.28

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Solution

The fourth proportional to 18,058, 27,062.40 and 10,164.28 is: 15,232.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,058 : 27,062.40 = 10,164.28 : x
  2. Step 2: Convert to fraction form
    18,058/27,062.40 = 10,164.28/x
  3. Step 3: Cross multiply
    18,058x = 27,062.40 × 10,164.28
  4. Step 4: Simplify right side
    18,058x = 275,069,811.07
  5. Step 5: Solve for x
    x = 275,069,811.07/18,058
  6. Step 6: Final answer
    x = 15,232.57

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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.