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Finding the Fourth Proportional to 2,096.50, 3,141.80 and 1,655.82

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Solution

The fourth proportional to 2,096.50, 3,141.80 and 1,655.82 is: 2,481.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.50 : 3,141.80 = 1,655.82 : x
  2. Step 2: Convert to fraction form
    2,096.50/3,141.80 = 1,655.82/x
  3. Step 3: Cross multiply
    2,096.50x = 3,141.80 × 1,655.82
  4. Step 4: Simplify right side
    2,096.50x = 5,202,255.28
  5. Step 5: Solve for x
    x = 5,202,255.28/2,096.50
  6. Step 6: Final answer
    x = 2,481.40

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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.