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Finding the Fourth Proportional to 5,609.90, 8,415.08 and 2,099.56

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Solution

The fourth proportional to 5,609.90, 8,415.08 and 2,099.56 is: 3,149.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.90 : 8,415.08 = 2,099.56 : x
  2. Step 2: Convert to fraction form
    5,609.90/8,415.08 = 2,099.56/x
  3. Step 3: Cross multiply
    5,609.90x = 8,415.08 × 2,099.56
  4. Step 4: Simplify right side
    5,609.90x = 17,667,965.36
  5. Step 5: Solve for x
    x = 17,667,965.36/5,609.90
  6. Step 6: Final answer
    x = 3,149.43

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1.5x scale

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.