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Finding the Fourth Proportional to 3,877.22, 5,813.61 and 2,646.12

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Solution

The fourth proportional to 3,877.22, 5,813.61 and 2,646.12 is: 3,967.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.22 : 5,813.61 = 2,646.12 : x
  2. Step 2: Convert to fraction form
    3,877.22/5,813.61 = 2,646.12/x
  3. Step 3: Cross multiply
    3,877.22x = 5,813.61 × 2,646.12
  4. Step 4: Simplify right side
    3,877.22x = 15,383,487.24
  5. Step 5: Solve for x
    x = 15,383,487.24/3,877.22
  6. Step 6: Final answer
    x = 3,967.66

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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.