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Finding the Fourth Proportional to 3,378, 5,068.08 and 1,069.50

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Solution

The fourth proportional to 3,378, 5,068.08 and 1,069.50 is: 1,604.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378 : 5,068.08 = 1,069.50 : x
  2. Step 2: Convert to fraction form
    3,378/5,068.08 = 1,069.50/x
  3. Step 3: Cross multiply
    3,378x = 5,068.08 × 1,069.50
  4. Step 4: Simplify right side
    3,378x = 5,420,311.56
  5. Step 5: Solve for x
    x = 5,420,311.56/3,378
  6. Step 6: Final answer
    x = 1,604.59

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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.