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Finding the Fourth Proportional to 11,837.78, 17,739.74 and 8,693.11

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Solution

The fourth proportional to 11,837.78, 17,739.74 and 8,693.11 is: 13,027.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,837.78 : 17,739.74 = 8,693.11 : x
  2. Step 2: Convert to fraction form
    11,837.78/17,739.74 = 8,693.11/x
  3. Step 3: Cross multiply
    11,837.78x = 17,739.74 × 8,693.11
  4. Step 4: Simplify right side
    11,837.78x = 154,213,511.19
  5. Step 5: Solve for x
    x = 154,213,511.19/11,837.78
  6. Step 6: Final answer
    x = 13,027.23

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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.