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Finding the Fourth Proportional to 2,168.72, 2,992.82 and 1,174

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Solution

The fourth proportional to 2,168.72, 2,992.82 and 1,174 is: 1,620.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.72 : 2,992.82 = 1,174 : x
  2. Step 2: Convert to fraction form
    2,168.72/2,992.82 = 1,174/x
  3. Step 3: Cross multiply
    2,168.72x = 2,992.82 × 1,174
  4. Step 4: Simplify right side
    2,168.72x = 3,513,570.68
  5. Step 5: Solve for x
    x = 3,513,570.68/2,168.72
  6. Step 6: Final answer
    x = 1,620.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.