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Finding the Fourth Proportional to 18,242.82, 27,365.76 and 7,148.70

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Solution

The fourth proportional to 18,242.82, 27,365.76 and 7,148.70 is: 10,723.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,242.82 : 27,365.76 = 7,148.70 : x
  2. Step 2: Convert to fraction form
    18,242.82/27,365.76 = 7,148.70/x
  3. Step 3: Cross multiply
    18,242.82x = 27,365.76 × 7,148.70
  4. Step 4: Simplify right side
    18,242.82x = 195,629,608.51
  5. Step 5: Solve for x
    x = 195,629,608.51/18,242.82
  6. Step 6: Final answer
    x = 10,723.65

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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.