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Finding the Fourth Proportional to 3,877.22, 5,814.40 and 1,411.44

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Solution

The fourth proportional to 3,877.22, 5,814.40 and 1,411.44 is: 2,116.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.22 : 5,814.40 = 1,411.44 : x
  2. Step 2: Convert to fraction form
    3,877.22/5,814.40 = 1,411.44/x
  3. Step 3: Cross multiply
    3,877.22x = 5,814.40 × 1,411.44
  4. Step 4: Simplify right side
    3,877.22x = 8,206,676.74
  5. Step 5: Solve for x
    x = 8,206,676.74/3,877.22
  6. Step 6: Final answer
    x = 2,116.64

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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.