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Finding the Fourth Proportional to 18,114, 27,173.43 and 7,728.18

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Solution

The fourth proportional to 18,114, 27,173.43 and 7,728.18 is: 11,593.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,114 : 27,173.43 = 7,728.18 : x
  2. Step 2: Convert to fraction form
    18,114/27,173.43 = 7,728.18/x
  3. Step 3: Cross multiply
    18,114x = 27,173.43 × 7,728.18
  4. Step 4: Simplify right side
    18,114x = 210,001,158.26
  5. Step 5: Solve for x
    x = 210,001,158.26/18,114
  6. Step 6: Final answer
    x = 11,593.31

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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.