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Finding the Fourth Proportional to 3,658.95, 5,487.86 and 1,193.77

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Solution

The fourth proportional to 3,658.95, 5,487.86 and 1,193.77 is: 1,790.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.95 : 5,487.86 = 1,193.77 : x
  2. Step 2: Convert to fraction form
    3,658.95/5,487.86 = 1,193.77/x
  3. Step 3: Cross multiply
    3,658.95x = 5,487.86 × 1,193.77
  4. Step 4: Simplify right side
    3,658.95x = 6,551,252.48
  5. Step 5: Solve for x
    x = 6,551,252.48/3,658.95
  6. Step 6: Final answer
    x = 1,790.47

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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.