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Finding the Fourth Proportional to 1,940.54, 2,911.60 and 787.10

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Solution

The fourth proportional to 1,940.54, 2,911.60 and 787.10 is: 1,180.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.54 : 2,911.60 = 787.10 : x
  2. Step 2: Convert to fraction form
    1,940.54/2,911.60 = 787.10/x
  3. Step 3: Cross multiply
    1,940.54x = 2,911.60 × 787.10
  4. Step 4: Simplify right side
    1,940.54x = 2,291,720.36
  5. Step 5: Solve for x
    x = 2,291,720.36/1,940.54
  6. Step 6: Final answer
    x = 1,180.97

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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.