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Finding the Fourth Proportional to 5,383.07, 8,067.08 and 2,609

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Solution

The fourth proportional to 5,383.07, 8,067.08 and 2,609 is: 3,909.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,383.07 : 8,067.08 = 2,609 : x
  2. Step 2: Convert to fraction form
    5,383.07/8,067.08 = 2,609/x
  3. Step 3: Cross multiply
    5,383.07x = 8,067.08 × 2,609
  4. Step 4: Simplify right side
    5,383.07x = 21,047,011.72
  5. Step 5: Solve for x
    x = 21,047,011.72/5,383.07
  6. Step 6: Final answer
    x = 3,909.85

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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.