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Finding the Fourth Proportional to 2,121.32, 3,182.40 and 660.41

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Solution

The fourth proportional to 2,121.32, 3,182.40 and 660.41 is: 990.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.32 : 3,182.40 = 660.41 : x
  2. Step 2: Convert to fraction form
    2,121.32/3,182.40 = 660.41/x
  3. Step 3: Cross multiply
    2,121.32x = 3,182.40 × 660.41
  4. Step 4: Simplify right side
    2,121.32x = 2,101,688.78
  5. Step 5: Solve for x
    x = 2,101,688.78/2,121.32
  6. Step 6: Final answer
    x = 990.75

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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.