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Finding the Fourth Proportional to 3,469.70, 4,787.57 and 1,957.16

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Solution

The fourth proportional to 3,469.70, 4,787.57 and 1,957.16 is: 2,700.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.70 : 4,787.57 = 1,957.16 : x
  2. Step 2: Convert to fraction form
    3,469.70/4,787.57 = 1,957.16/x
  3. Step 3: Cross multiply
    3,469.70x = 4,787.57 × 1,957.16
  4. Step 4: Simplify right side
    3,469.70x = 9,370,057.36
  5. Step 5: Solve for x
    x = 9,370,057.36/3,469.70
  6. Step 6: Final answer
    x = 2,700.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.