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Finding the Fourth Proportional to 2,134.75, 3,201.75 and 574.86

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Solution

The fourth proportional to 2,134.75, 3,201.75 and 574.86 is: 862.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.75 : 3,201.75 = 574.86 : x
  2. Step 2: Convert to fraction form
    2,134.75/3,201.75 = 574.86/x
  3. Step 3: Cross multiply
    2,134.75x = 3,201.75 × 574.86
  4. Step 4: Simplify right side
    2,134.75x = 1,840,558.01
  5. Step 5: Solve for x
    x = 1,840,558.01/2,134.75
  6. Step 6: Final answer
    x = 862.19

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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.