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Finding the Fourth Proportional to 3,778.09, 5,669.10 and 1,805.94

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Solution

The fourth proportional to 3,778.09, 5,669.10 and 1,805.94 is: 2,709.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.09 : 5,669.10 = 1,805.94 : x
  2. Step 2: Convert to fraction form
    3,778.09/5,669.10 = 1,805.94/x
  3. Step 3: Cross multiply
    3,778.09x = 5,669.10 × 1,805.94
  4. Step 4: Simplify right side
    3,778.09x = 10,238,054.45
  5. Step 5: Solve for x
    x = 10,238,054.45/3,778.09
  6. Step 6: Final answer
    x = 2,709.85

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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.