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Finding the Fourth Proportional to 2,637.43, 3,956.96 and 906.06

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Solution

The fourth proportional to 2,637.43, 3,956.96 and 906.06 is: 1,359.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.43 : 3,956.96 = 906.06 : x
  2. Step 2: Convert to fraction form
    2,637.43/3,956.96 = 906.06/x
  3. Step 3: Cross multiply
    2,637.43x = 3,956.96 × 906.06
  4. Step 4: Simplify right side
    2,637.43x = 3,585,243.18
  5. Step 5: Solve for x
    x = 3,585,243.18/2,637.43
  6. Step 6: Final answer
    x = 1,359.37

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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.