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Finding the Fourth Proportional to 2,171.86, 3,257.44 and 611.72

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Solution

The fourth proportional to 2,171.86, 3,257.44 and 611.72 is: 917.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.86 : 3,257.44 = 611.72 : x
  2. Step 2: Convert to fraction form
    2,171.86/3,257.44 = 611.72/x
  3. Step 3: Cross multiply
    2,171.86x = 3,257.44 × 611.72
  4. Step 4: Simplify right side
    2,171.86x = 1,992,641.20
  5. Step 5: Solve for x
    x = 1,992,641.20/2,171.86
  6. Step 6: Final answer
    x = 917.48

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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.