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Finding the Fourth Proportional to 2,735.90, 4,102.89 and 787.58

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Solution

The fourth proportional to 2,735.90, 4,102.89 and 787.58 is: 1,181.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.90 : 4,102.89 = 787.58 : x
  2. Step 2: Convert to fraction form
    2,735.90/4,102.89 = 787.58/x
  3. Step 3: Cross multiply
    2,735.90x = 4,102.89 × 787.58
  4. Step 4: Simplify right side
    2,735.90x = 3,231,354.11
  5. Step 5: Solve for x
    x = 3,231,354.11/2,735.90
  6. Step 6: Final answer
    x = 1,181.09

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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.