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Finding the Fourth Proportional to 3,343.80, 5,016 and 878.58

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Solution

The fourth proportional to 3,343.80, 5,016 and 878.58 is: 1,317.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.80 : 5,016 = 878.58 : x
  2. Step 2: Convert to fraction form
    3,343.80/5,016 = 878.58/x
  3. Step 3: Cross multiply
    3,343.80x = 5,016 × 878.58
  4. Step 4: Simplify right side
    3,343.80x = 4,406,957.28
  5. Step 5: Solve for x
    x = 4,406,957.28/3,343.80
  6. Step 6: Final answer
    x = 1,317.95

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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.