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Finding the Fourth Proportional to 2,637.01, 3,954.57 and 787.78

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Solution

The fourth proportional to 2,637.01, 3,954.57 and 787.78 is: 1,181.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.01 : 3,954.57 = 787.78 : x
  2. Step 2: Convert to fraction form
    2,637.01/3,954.57 = 787.78/x
  3. Step 3: Cross multiply
    2,637.01x = 3,954.57 × 787.78
  4. Step 4: Simplify right side
    2,637.01x = 3,115,331.15
  5. Step 5: Solve for x
    x = 3,115,331.15/2,637.01
  6. Step 6: Final answer
    x = 1,181.39

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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.