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Finding the Fourth Proportional to 3,648.50, 5,034.93 and 1,992.50

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Solution

The fourth proportional to 3,648.50, 5,034.93 and 1,992.50 is: 2,749.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.50 : 5,034.93 = 1,992.50 : x
  2. Step 2: Convert to fraction form
    3,648.50/5,034.93 = 1,992.50/x
  3. Step 3: Cross multiply
    3,648.50x = 5,034.93 × 1,992.50
  4. Step 4: Simplify right side
    3,648.50x = 10,032,098.03
  5. Step 5: Solve for x
    x = 10,032,098.03/3,648.50
  6. Step 6: Final answer
    x = 2,749.65

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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.