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Finding the Fourth Proportional to 2,171.53, 3,256.86 and 611.61

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Solution

The fourth proportional to 2,171.53, 3,256.86 and 611.61 is: 917.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.53 : 3,256.86 = 611.61 : x
  2. Step 2: Convert to fraction form
    2,171.53/3,256.86 = 611.61/x
  3. Step 3: Cross multiply
    2,171.53x = 3,256.86 × 611.61
  4. Step 4: Simplify right side
    2,171.53x = 1,991,928.14
  5. Step 5: Solve for x
    x = 1,991,928.14/2,171.53
  6. Step 6: Final answer
    x = 917.29

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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.