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Finding the Fourth Proportional to 3,878.57, 5,815.02 and 1,244.58

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Solution

The fourth proportional to 3,878.57, 5,815.02 and 1,244.58 is: 1,865.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.57 : 5,815.02 = 1,244.58 : x
  2. Step 2: Convert to fraction form
    3,878.57/5,815.02 = 1,244.58/x
  3. Step 3: Cross multiply
    3,878.57x = 5,815.02 × 1,244.58
  4. Step 4: Simplify right side
    3,878.57x = 7,237,240.45
  5. Step 5: Solve for x
    x = 7,237,240.45/3,878.57
  6. Step 6: Final answer
    x = 1,865.95

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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.