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Finding the Fourth Proportional to 3,661.21, 5,491.23 and 1,063.54

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Solution

The fourth proportional to 3,661.21, 5,491.23 and 1,063.54 is: 1,595.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.21 : 5,491.23 = 1,063.54 : x
  2. Step 2: Convert to fraction form
    3,661.21/5,491.23 = 1,063.54/x
  3. Step 3: Cross multiply
    3,661.21x = 5,491.23 × 1,063.54
  4. Step 4: Simplify right side
    3,661.21x = 5,840,142.75
  5. Step 5: Solve for x
    x = 5,840,142.75/3,661.21
  6. Step 6: Final answer
    x = 1,595.14

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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.