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Finding the Fourth Proportional to 5,609, 8,414.30 and 1,911.56

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Solution

The fourth proportional to 5,609, 8,414.30 and 1,911.56 is: 2,867.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609 : 8,414.30 = 1,911.56 : x
  2. Step 2: Convert to fraction form
    5,609/8,414.30 = 1,911.56/x
  3. Step 3: Cross multiply
    5,609x = 8,414.30 × 1,911.56
  4. Step 4: Simplify right side
    5,609x = 16,084,439.31
  5. Step 5: Solve for x
    x = 16,084,439.31/5,609
  6. Step 6: Final answer
    x = 2,867.61

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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.