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Finding the Fourth Proportional to 13,752.78, 20,629.26 and 3,364.53

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Solution

The fourth proportional to 13,752.78, 20,629.26 and 3,364.53 is: 5,046.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,752.78 : 20,629.26 = 3,364.53 : x
  2. Step 2: Convert to fraction form
    13,752.78/20,629.26 = 3,364.53/x
  3. Step 3: Cross multiply
    13,752.78x = 20,629.26 × 3,364.53
  4. Step 4: Simplify right side
    13,752.78x = 69,407,764.15
  5. Step 5: Solve for x
    x = 69,407,764.15/13,752.78
  6. Step 6: Final answer
    x = 5,046.82

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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.