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Finding the Fourth Proportional to 2,735.41, 4,103.02 and 787.57

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Solution

The fourth proportional to 2,735.41, 4,103.02 and 787.57 is: 1,181.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.41 : 4,103.02 = 787.57 : x
  2. Step 2: Convert to fraction form
    2,735.41/4,103.02 = 787.57/x
  3. Step 3: Cross multiply
    2,735.41x = 4,103.02 × 787.57
  4. Step 4: Simplify right side
    2,735.41x = 3,231,415.46
  5. Step 5: Solve for x
    x = 3,231,415.46/2,735.41
  6. Step 6: Final answer
    x = 1,181.33

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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.