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Finding the Fourth Proportional to 3,878.02, 5,815.22 and 1,245.04

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Solution

The fourth proportional to 3,878.02, 5,815.22 and 1,245.04 is: 1,866.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.02 : 5,815.22 = 1,245.04 : x
  2. Step 2: Convert to fraction form
    3,878.02/5,815.22 = 1,245.04/x
  3. Step 3: Cross multiply
    3,878.02x = 5,815.22 × 1,245.04
  4. Step 4: Simplify right side
    3,878.02x = 7,240,170.08
  5. Step 5: Solve for x
    x = 7,240,170.08/3,878.02
  6. Step 6: Final answer
    x = 1,866.98

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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.