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Finding the Fourth Proportional to 3,343.50, 5,015.32 and 878.54

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Solution

The fourth proportional to 3,343.50, 5,015.32 and 878.54 is: 1,317.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.50 : 5,015.32 = 878.54 : x
  2. Step 2: Convert to fraction form
    3,343.50/5,015.32 = 878.54/x
  3. Step 3: Cross multiply
    3,343.50x = 5,015.32 × 878.54
  4. Step 4: Simplify right side
    3,343.50x = 4,406,131.96
  5. Step 5: Solve for x
    x = 4,406,131.96/3,343.50
  6. Step 6: Final answer
    x = 1,317.82

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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.