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Finding the Fourth Proportional to 3,878.58, 5,807.97 and 2,493.48

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Solution

The fourth proportional to 3,878.58, 5,807.97 and 2,493.48 is: 3,733.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.58 : 5,807.97 = 2,493.48 : x
  2. Step 2: Convert to fraction form
    3,878.58/5,807.97 = 2,493.48/x
  3. Step 3: Cross multiply
    3,878.58x = 5,807.97 × 2,493.48
  4. Step 4: Simplify right side
    3,878.58x = 14,482,057.04
  5. Step 5: Solve for x
    x = 14,482,057.04/3,878.58
  6. Step 6: Final answer
    x = 3,733.86

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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.