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Finding the Fourth Proportional to 2,637.75, 3,957.30 and 906.38

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Solution

The fourth proportional to 2,637.75, 3,957.30 and 906.38 is: 1,359.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.75 : 3,957.30 = 906.38 : x
  2. Step 2: Convert to fraction form
    2,637.75/3,957.30 = 906.38/x
  3. Step 3: Cross multiply
    2,637.75x = 3,957.30 × 906.38
  4. Step 4: Simplify right side
    2,637.75x = 3,586,797.79
  5. Step 5: Solve for x
    x = 3,586,797.79/2,637.75
  6. Step 6: Final answer
    x = 1,359.79

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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.