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Finding the Fourth Proportional to 7,069.32, 10,608.81 and 3,609

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Solution

The fourth proportional to 7,069.32, 10,608.81 and 3,609 is: 5,415.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,069.32 : 10,608.81 = 3,609 : x
  2. Step 2: Convert to fraction form
    7,069.32/10,608.81 = 3,609/x
  3. Step 3: Cross multiply
    7,069.32x = 10,608.81 × 3,609
  4. Step 4: Simplify right side
    7,069.32x = 38,287,195.29
  5. Step 5: Solve for x
    x = 38,287,195.29/7,069.32
  6. Step 6: Final answer
    x = 5,415.97

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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.