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Finding the Fourth Proportional to 3,781.70, 5,218.86 and 2,289.88

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Solution

The fourth proportional to 3,781.70, 5,218.86 and 2,289.88 is: 3,160.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.70 : 5,218.86 = 2,289.88 : x
  2. Step 2: Convert to fraction form
    3,781.70/5,218.86 = 2,289.88/x
  3. Step 3: Cross multiply
    3,781.70x = 5,218.86 × 2,289.88
  4. Step 4: Simplify right side
    3,781.70x = 11,950,563.14
  5. Step 5: Solve for x
    x = 11,950,563.14/3,781.70
  6. Step 6: Final answer
    x = 3,160.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.