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Finding the Fourth Proportional to 2,541.27, 3,812.03 and 787.49

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Solution

The fourth proportional to 2,541.27, 3,812.03 and 787.49 is: 1,181.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.27 : 3,812.03 = 787.49 : x
  2. Step 2: Convert to fraction form
    2,541.27/3,812.03 = 787.49/x
  3. Step 3: Cross multiply
    2,541.27x = 3,812.03 × 787.49
  4. Step 4: Simplify right side
    2,541.27x = 3,001,935.50
  5. Step 5: Solve for x
    x = 3,001,935.50/2,541.27
  6. Step 6: Final answer
    x = 1,181.27

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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.