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Finding the Fourth Proportional to 7,378.56, 11,069.28 and 3,919.68

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Solution

The fourth proportional to 7,378.56, 11,069.28 and 3,919.68 is: 5,880.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,378.56 : 11,069.28 = 3,919.68 : x
  2. Step 2: Convert to fraction form
    7,378.56/11,069.28 = 3,919.68/x
  3. Step 3: Cross multiply
    7,378.56x = 11,069.28 × 3,919.68
  4. Step 4: Simplify right side
    7,378.56x = 43,388,035.43
  5. Step 5: Solve for x
    x = 43,388,035.43/7,378.56
  6. Step 6: Final answer
    x = 5,880.28

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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.