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Finding the Fourth Proportional to 2,787.57, 3,844.72 and 2,041.26

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Solution

The fourth proportional to 2,787.57, 3,844.72 and 2,041.26 is: 2,815.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.57 : 3,844.72 = 2,041.26 : x
  2. Step 2: Convert to fraction form
    2,787.57/3,844.72 = 2,041.26/x
  3. Step 3: Cross multiply
    2,787.57x = 3,844.72 × 2,041.26
  4. Step 4: Simplify right side
    2,787.57x = 7,848,073.15
  5. Step 5: Solve for x
    x = 7,848,073.15/2,787.57
  6. Step 6: Final answer
    x = 2,815.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.