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Finding the Fourth Proportional to 3,290.92, 4,936.65 and 1,099.65

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Solution

The fourth proportional to 3,290.92, 4,936.65 and 1,099.65 is: 1,649.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.92 : 4,936.65 = 1,099.65 : x
  2. Step 2: Convert to fraction form
    3,290.92/4,936.65 = 1,099.65/x
  3. Step 3: Cross multiply
    3,290.92x = 4,936.65 × 1,099.65
  4. Step 4: Simplify right side
    3,290.92x = 5,428,587.17
  5. Step 5: Solve for x
    x = 5,428,587.17/3,290.92
  6. Step 6: Final answer
    x = 1,649.57

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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.