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Finding the Fourth Proportional to 2,735.44, 4,102.71 and 787.84

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Solution

The fourth proportional to 2,735.44, 4,102.71 and 787.84 is: 1,181.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.44 : 4,102.71 = 787.84 : x
  2. Step 2: Convert to fraction form
    2,735.44/4,102.71 = 787.84/x
  3. Step 3: Cross multiply
    2,735.44x = 4,102.71 × 787.84
  4. Step 4: Simplify right side
    2,735.44x = 3,232,279.05
  5. Step 5: Solve for x
    x = 3,232,279.05/2,735.44
  6. Step 6: Final answer
    x = 1,181.63

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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.