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Finding the Fourth Proportional to 4,562.43, 6,845.50 and 1,640.96

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Solution

The fourth proportional to 4,562.43, 6,845.50 and 1,640.96 is: 2,462.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.43 : 6,845.50 = 1,640.96 : x
  2. Step 2: Convert to fraction form
    4,562.43/6,845.50 = 1,640.96/x
  3. Step 3: Cross multiply
    4,562.43x = 6,845.50 × 1,640.96
  4. Step 4: Simplify right side
    4,562.43x = 11,233,191.68
  5. Step 5: Solve for x
    x = 11,233,191.68/4,562.43
  6. Step 6: Final answer
    x = 2,462.11

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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.