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Finding the Fourth Proportional to 3,636.74, 5,458.22 and 1,447.01

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Solution

The fourth proportional to 3,636.74, 5,458.22 and 1,447.01 is: 2,171.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,636.74 : 5,458.22 = 1,447.01 : x
  2. Step 2: Convert to fraction form
    3,636.74/5,458.22 = 1,447.01/x
  3. Step 3: Cross multiply
    3,636.74x = 5,458.22 × 1,447.01
  4. Step 4: Simplify right side
    3,636.74x = 7,898,098.92
  5. Step 5: Solve for x
    x = 7,898,098.92/3,636.74
  6. Step 6: Final answer
    x = 2,171.75

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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.