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Finding the Fourth Proportional to 3,695.68, 5,538.89 and 1,847.31

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Solution

The fourth proportional to 3,695.68, 5,538.89 and 1,847.31 is: 2,768.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.68 : 5,538.89 = 1,847.31 : x
  2. Step 2: Convert to fraction form
    3,695.68/5,538.89 = 1,847.31/x
  3. Step 3: Cross multiply
    3,695.68x = 5,538.89 × 1,847.31
  4. Step 4: Simplify right side
    3,695.68x = 10,232,046.89
  5. Step 5: Solve for x
    x = 10,232,046.89/3,695.68
  6. Step 6: Final answer
    x = 2,768.65

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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.