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Finding the Fourth Proportional to 3,447.75, 5,174.86 and 1,805.47

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Solution

The fourth proportional to 3,447.75, 5,174.86 and 1,805.47 is: 2,709.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.75 : 5,174.86 = 1,805.47 : x
  2. Step 2: Convert to fraction form
    3,447.75/5,174.86 = 1,805.47/x
  3. Step 3: Cross multiply
    3,447.75x = 5,174.86 × 1,805.47
  4. Step 4: Simplify right side
    3,447.75x = 9,343,078.40
  5. Step 5: Solve for x
    x = 9,343,078.40/3,447.75
  6. Step 6: Final answer
    x = 2,709.91

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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.