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Finding the Fourth Proportional to 2,140.92, 3,211.44 and 601.92

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Solution

The fourth proportional to 2,140.92, 3,211.44 and 601.92 is: 902.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.92 : 3,211.44 = 601.92 : x
  2. Step 2: Convert to fraction form
    2,140.92/3,211.44 = 601.92/x
  3. Step 3: Cross multiply
    2,140.92x = 3,211.44 × 601.92
  4. Step 4: Simplify right side
    2,140.92x = 1,933,029.96
  5. Step 5: Solve for x
    x = 1,933,029.96/2,140.92
  6. Step 6: Final answer
    x = 902.90

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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.