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Finding the Fourth Proportional to 3,627, 5,442.12 and 1,436.22

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Solution

The fourth proportional to 3,627, 5,442.12 and 1,436.22 is: 2,154.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627 : 5,442.12 = 1,436.22 : x
  2. Step 2: Convert to fraction form
    3,627/5,442.12 = 1,436.22/x
  3. Step 3: Cross multiply
    3,627x = 5,442.12 × 1,436.22
  4. Step 4: Simplify right side
    3,627x = 7,816,081.59
  5. Step 5: Solve for x
    x = 7,816,081.59/3,627
  6. Step 6: Final answer
    x = 2,154.97

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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.