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Finding the Fourth Proportional to 3,659.31, 5,488.80 and 1,193.81

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Solution

The fourth proportional to 3,659.31, 5,488.80 and 1,193.81 is: 1,790.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.31 : 5,488.80 = 1,193.81 : x
  2. Step 2: Convert to fraction form
    3,659.31/5,488.80 = 1,193.81/x
  3. Step 3: Cross multiply
    3,659.31x = 5,488.80 × 1,193.81
  4. Step 4: Simplify right side
    3,659.31x = 6,552,603.76
  5. Step 5: Solve for x
    x = 6,552,603.76/3,659.31
  6. Step 6: Final answer
    x = 1,790.66

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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.