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Finding the Fourth Proportional to 3,626, 5,411.61 and 3,276.08

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Solution

The fourth proportional to 3,626, 5,411.61 and 3,276.08 is: 4,889.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626 : 5,411.61 = 3,276.08 : x
  2. Step 2: Convert to fraction form
    3,626/5,411.61 = 3,276.08/x
  3. Step 3: Cross multiply
    3,626x = 5,411.61 × 3,276.08
  4. Step 4: Simplify right side
    3,626x = 17,728,850.91
  5. Step 5: Solve for x
    x = 17,728,850.91/3,626
  6. Step 6: Final answer
    x = 4,889.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.