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Finding the Fourth Proportional to 2,171.45, 3,256.92 and 611.57

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Solution

The fourth proportional to 2,171.45, 3,256.92 and 611.57 is: 917.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.45 : 3,256.92 = 611.57 : x
  2. Step 2: Convert to fraction form
    2,171.45/3,256.92 = 611.57/x
  3. Step 3: Cross multiply
    2,171.45x = 3,256.92 × 611.57
  4. Step 4: Simplify right side
    2,171.45x = 1,991,842.71
  5. Step 5: Solve for x
    x = 1,991,842.71/2,171.45
  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.