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Finding the Fourth Proportional to 2,440.92, 3,661.40 and 1,624.40

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Solution

The fourth proportional to 2,440.92, 3,661.40 and 1,624.40 is: 2,436.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440.92 : 3,661.40 = 1,624.40 : x
  2. Step 2: Convert to fraction form
    2,440.92/3,661.40 = 1,624.40/x
  3. Step 3: Cross multiply
    2,440.92x = 3,661.40 × 1,624.40
  4. Step 4: Simplify right side
    2,440.92x = 5,947,578.16
  5. Step 5: Solve for x
    x = 5,947,578.16/2,440.92
  6. Step 6: Final answer
    x = 2,436.61

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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.