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Finding the Fourth Proportional to 1,957.10, 2,936.69 and 787.24

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Solution

The fourth proportional to 1,957.10, 2,936.69 and 787.24 is: 1,181.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.10 : 2,936.69 = 787.24 : x
  2. Step 2: Convert to fraction form
    1,957.10/2,936.69 = 787.24/x
  3. Step 3: Cross multiply
    1,957.10x = 2,936.69 × 787.24
  4. Step 4: Simplify right side
    1,957.10x = 2,311,894.10
  5. Step 5: Solve for x
    x = 2,311,894.10/1,957.10
  6. Step 6: Final answer
    x = 1,181.29

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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.