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Finding the Fourth Proportional to 3,891.61, 5,837.37 and 969.94

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Solution

The fourth proportional to 3,891.61, 5,837.37 and 969.94 is: 1,454.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.61 : 5,837.37 = 969.94 : x
  2. Step 2: Convert to fraction form
    3,891.61/5,837.37 = 969.94/x
  3. Step 3: Cross multiply
    3,891.61x = 5,837.37 × 969.94
  4. Step 4: Simplify right side
    3,891.61x = 5,661,902.32
  5. Step 5: Solve for x
    x = 5,661,902.32/3,891.61
  6. Step 6: Final answer
    x = 1,454.90

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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.