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Finding the Fourth Proportional to 3,894.85, 5,844.40 and 1,815.84

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Solution

The fourth proportional to 3,894.85, 5,844.40 and 1,815.84 is: 2,724.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.85 : 5,844.40 = 1,815.84 : x
  2. Step 2: Convert to fraction form
    3,894.85/5,844.40 = 1,815.84/x
  3. Step 3: Cross multiply
    3,894.85x = 5,844.40 × 1,815.84
  4. Step 4: Simplify right side
    3,894.85x = 10,612,495.30
  5. Step 5: Solve for x
    x = 10,612,495.30/3,894.85
  6. Step 6: Final answer
    x = 2,724.75

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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.