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Finding the Fourth Proportional to 3,779.97, 5,214.92 and 2,787.62

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Solution

The fourth proportional to 3,779.97, 5,214.92 and 2,787.62 is: 3,845.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.97 : 5,214.92 = 2,787.62 : x
  2. Step 2: Convert to fraction form
    3,779.97/5,214.92 = 2,787.62/x
  3. Step 3: Cross multiply
    3,779.97x = 5,214.92 × 2,787.62
  4. Step 4: Simplify right side
    3,779.97x = 14,537,175.28
  5. Step 5: Solve for x
    x = 14,537,175.28/3,779.97
  6. Step 6: Final answer
    x = 3,845.85

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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.