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Finding the Fourth Proportional to 3,773.85, 5,206.48 and 2,781.49

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Solution

The fourth proportional to 3,773.85, 5,206.48 and 2,781.49 is: 3,837.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.85 : 5,206.48 = 2,781.49 : x
  2. Step 2: Convert to fraction form
    3,773.85/5,206.48 = 2,781.49/x
  3. Step 3: Cross multiply
    3,773.85x = 5,206.48 × 2,781.49
  4. Step 4: Simplify right side
    3,773.85x = 14,481,772.06
  5. Step 5: Solve for x
    x = 14,481,772.06/3,773.85
  6. Step 6: Final answer
    x = 3,837.40

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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.