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Finding the Fourth Proportional to 2,094.68, 3,142.50 and 908.92

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Solution

The fourth proportional to 2,094.68, 3,142.50 and 908.92 is: 1,363.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.68 : 3,142.50 = 908.92 : x
  2. Step 2: Convert to fraction form
    2,094.68/3,142.50 = 908.92/x
  3. Step 3: Cross multiply
    2,094.68x = 3,142.50 × 908.92
  4. Step 4: Simplify right side
    2,094.68x = 2,856,281.10
  5. Step 5: Solve for x
    x = 2,856,281.10/2,094.68
  6. Step 6: Final answer
    x = 1,363.59

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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.