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Finding the Fourth Proportional to 3,343.60, 5,015.34 and 878.44

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Solution

The fourth proportional to 3,343.60, 5,015.34 and 878.44 is: 1,317.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.60 : 5,015.34 = 878.44 : x
  2. Step 2: Convert to fraction form
    3,343.60/5,015.34 = 878.44/x
  3. Step 3: Cross multiply
    3,343.60x = 5,015.34 × 878.44
  4. Step 4: Simplify right side
    3,343.60x = 4,405,675.27
  5. Step 5: Solve for x
    x = 4,405,675.27/3,343.60
  6. Step 6: Final answer
    x = 1,317.64

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1.5x scale

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.