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Finding the Fourth Proportional to 5,739, 8,609.94 and 1,635

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Solution

The fourth proportional to 5,739, 8,609.94 and 1,635 is: 2,452.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739 : 8,609.94 = 1,635 : x
  2. Step 2: Convert to fraction form
    5,739/8,609.94 = 1,635/x
  3. Step 3: Cross multiply
    5,739x = 8,609.94 × 1,635
  4. Step 4: Simplify right side
    5,739x = 14,077,251.90
  5. Step 5: Solve for x
    x = 14,077,251.90/5,739
  6. Step 6: Final answer
    x = 2,452.91

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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.