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Finding the Fourth Proportional to 18,140.49, 27,211.32 and 4,992.93

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Solution

The fourth proportional to 18,140.49, 27,211.32 and 4,992.93 is: 7,489.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,140.49 : 27,211.32 = 4,992.93 : x
  2. Step 2: Convert to fraction form
    18,140.49/27,211.32 = 4,992.93/x
  3. Step 3: Cross multiply
    18,140.49x = 27,211.32 × 4,992.93
  4. Step 4: Simplify right side
    18,140.49x = 135,864,215.97
  5. Step 5: Solve for x
    x = 135,864,215.97/18,140.49
  6. Step 6: Final answer
    x = 7,489.56

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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.