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Finding the Fourth Proportional to 3,678.68, 5,517.84 and 942.68

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Solution

The fourth proportional to 3,678.68, 5,517.84 and 942.68 is: 1,413.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.68 : 5,517.84 = 942.68 : x
  2. Step 2: Convert to fraction form
    3,678.68/5,517.84 = 942.68/x
  3. Step 3: Cross multiply
    3,678.68x = 5,517.84 × 942.68
  4. Step 4: Simplify right side
    3,678.68x = 5,201,557.41
  5. Step 5: Solve for x
    x = 5,201,557.41/3,678.68
  6. Step 6: Final answer
    x = 1,413.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.