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Finding the Fourth Proportional to 2,440.92, 3,661.99 and 981.71

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Solution

The fourth proportional to 2,440.92, 3,661.99 and 981.71 is: 1,472.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440.92 : 3,661.99 = 981.71 : x
  2. Step 2: Convert to fraction form
    2,440.92/3,661.99 = 981.71/x
  3. Step 3: Cross multiply
    2,440.92x = 3,661.99 × 981.71
  4. Step 4: Simplify right side
    2,440.92x = 3,594,991.44
  5. Step 5: Solve for x
    x = 3,594,991.44/2,440.92
  6. Step 6: Final answer
    x = 1,472.80

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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.