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Finding the Fourth Proportional to 2,099.38, 3,149.01 and 539.32

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Solution

The fourth proportional to 2,099.38, 3,149.01 and 539.32 is: 808.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.38 : 3,149.01 = 539.32 : x
  2. Step 2: Convert to fraction form
    2,099.38/3,149.01 = 539.32/x
  3. Step 3: Cross multiply
    2,099.38x = 3,149.01 × 539.32
  4. Step 4: Simplify right side
    2,099.38x = 1,698,324.07
  5. Step 5: Solve for x
    x = 1,698,324.07/2,099.38
  6. Step 6: Final answer
    x = 808.96

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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.