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Finding the Fourth Proportional to 13,649.10, 20,473.74 and 4,161.54

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Solution

The fourth proportional to 13,649.10, 20,473.74 and 4,161.54 is: 6,242.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.10 : 20,473.74 = 4,161.54 : x
  2. Step 2: Convert to fraction form
    13,649.10/20,473.74 = 4,161.54/x
  3. Step 3: Cross multiply
    13,649.10x = 20,473.74 × 4,161.54
  4. Step 4: Simplify right side
    13,649.10x = 85,202,287.96
  5. Step 5: Solve for x
    x = 85,202,287.96/13,649.10
  6. Step 6: Final answer
    x = 6,242.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.