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Finding the Fourth Proportional to 4,069.62, 6,105 and 1,296

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Solution

The fourth proportional to 4,069.62, 6,105 and 1,296 is: 1,944.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,069.62 : 6,105 = 1,296 : x
  2. Step 2: Convert to fraction form
    4,069.62/6,105 = 1,296/x
  3. Step 3: Cross multiply
    4,069.62x = 6,105 × 1,296
  4. Step 4: Simplify right side
    4,069.62x = 7,912,080
  5. Step 5: Solve for x
    x = 7,912,080/4,069.62
  6. Step 6: Final answer
    x = 1,944.18

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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.