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Finding the Fourth Proportional to 18,540.36, 27,810 and 7,444.08

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Solution

The fourth proportional to 18,540.36, 27,810 and 7,444.08 is: 11,165.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,540.36 : 27,810 = 7,444.08 : x
  2. Step 2: Convert to fraction form
    18,540.36/27,810 = 7,444.08/x
  3. Step 3: Cross multiply
    18,540.36x = 27,810 × 7,444.08
  4. Step 4: Simplify right side
    18,540.36x = 207,019,864.80
  5. Step 5: Solve for x
    x = 207,019,864.80/18,540.36
  6. Step 6: Final answer
    x = 11,165.90

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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.