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Finding the Fourth Proportional to 4,409.81, 6,617.91 and 1,636.88

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Solution

The fourth proportional to 4,409.81, 6,617.91 and 1,636.88 is: 2,456.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,409.81 : 6,617.91 = 1,636.88 : x
  2. Step 2: Convert to fraction form
    4,409.81/6,617.91 = 1,636.88/x
  3. Step 3: Cross multiply
    4,409.81x = 6,617.91 × 1,636.88
  4. Step 4: Simplify right side
    4,409.81x = 10,832,724.52
  5. Step 5: Solve for x
    x = 10,832,724.52/4,409.81
  6. Step 6: Final answer
    x = 2,456.51

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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.