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Finding the Fourth Proportional to 2,856.96, 4,283.28 and 908.04

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Solution

The fourth proportional to 2,856.96, 4,283.28 and 908.04 is: 1,361.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.96 : 4,283.28 = 908.04 : x
  2. Step 2: Convert to fraction form
    2,856.96/4,283.28 = 908.04/x
  3. Step 3: Cross multiply
    2,856.96x = 4,283.28 × 908.04
  4. Step 4: Simplify right side
    2,856.96x = 3,889,389.57
  5. Step 5: Solve for x
    x = 3,889,389.57/2,856.96
  6. Step 6: Final answer
    x = 1,361.37

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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.