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Finding the Fourth Proportional to 3,773.34, 5,205.78 and 2,781

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Solution

The fourth proportional to 3,773.34, 5,205.78 and 2,781 is: 3,836.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.34 : 5,205.78 = 2,781 : x
  2. Step 2: Convert to fraction form
    3,773.34/5,205.78 = 2,781/x
  3. Step 3: Cross multiply
    3,773.34x = 5,205.78 × 2,781
  4. Step 4: Simplify right side
    3,773.34x = 14,477,274.18
  5. Step 5: Solve for x
    x = 14,477,274.18/3,773.34
  6. Step 6: Final answer
    x = 3,836.73

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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.