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Finding the Fourth Proportional to 18,334, 27,500.40 and 5,186.36

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Solution

The fourth proportional to 18,334, 27,500.40 and 5,186.36 is: 7,779.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,334 : 27,500.40 = 5,186.36 : x
  2. Step 2: Convert to fraction form
    18,334/27,500.40 = 5,186.36/x
  3. Step 3: Cross multiply
    18,334x = 27,500.40 × 5,186.36
  4. Step 4: Simplify right side
    18,334x = 142,626,974.54
  5. Step 5: Solve for x
    x = 142,626,974.54/18,334
  6. Step 6: Final answer
    x = 7,779.37

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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.