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Finding the Fourth Proportional to 18,647.34, 27,971.09 and 7,554.24

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Solution

The fourth proportional to 18,647.34, 27,971.09 and 7,554.24 is: 11,331.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,647.34 : 27,971.09 = 7,554.24 : x
  2. Step 2: Convert to fraction form
    18,647.34/27,971.09 = 7,554.24/x
  3. Step 3: Cross multiply
    18,647.34x = 27,971.09 × 7,554.24
  4. Step 4: Simplify right side
    18,647.34x = 211,300,345.81
  5. Step 5: Solve for x
    x = 211,300,345.81/18,647.34
  6. Step 6: Final answer
    x = 11,331.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.