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Finding the Fourth Proportional to 3,779.94, 5,664.66 and 2,854.74

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Solution

The fourth proportional to 3,779.94, 5,664.66 and 2,854.74 is: 4,278.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.94 : 5,664.66 = 2,854.74 : x
  2. Step 2: Convert to fraction form
    3,779.94/5,664.66 = 2,854.74/x
  3. Step 3: Cross multiply
    3,779.94x = 5,664.66 × 2,854.74
  4. Step 4: Simplify right side
    3,779.94x = 16,171,131.49
  5. Step 5: Solve for x
    x = 16,171,131.49/3,779.94
  6. Step 6: Final answer
    x = 4,278.15

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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.