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Finding the Fourth Proportional to 5,805.74, 8,709.93 and 2,107.97

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Solution

The fourth proportional to 5,805.74, 8,709.93 and 2,107.97 is: 3,162.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.74 : 8,709.93 = 2,107.97 : x
  2. Step 2: Convert to fraction form
    5,805.74/8,709.93 = 2,107.97/x
  3. Step 3: Cross multiply
    5,805.74x = 8,709.93 × 2,107.97
  4. Step 4: Simplify right side
    5,805.74x = 18,360,309.25
  5. Step 5: Solve for x
    x = 18,360,309.25/5,805.74
  6. Step 6: Final answer
    x = 3,162.44

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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.