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Finding the Fourth Proportional to 3,622, 5,429.32 and 1,427.71

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Solution

The fourth proportional to 3,622, 5,429.32 and 1,427.71 is: 2,140.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,622 : 5,429.32 = 1,427.71 : x
  2. Step 2: Convert to fraction form
    3,622/5,429.32 = 1,427.71/x
  3. Step 3: Cross multiply
    3,622x = 5,429.32 × 1,427.71
  4. Step 4: Simplify right side
    3,622x = 7,751,494.46
  5. Step 5: Solve for x
    x = 7,751,494.46/3,622
  6. Step 6: Final answer
    x = 2,140.11

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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.