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Finding the Fourth Proportional to 13,574.31, 20,361.86 and 5,138.97

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Solution

The fourth proportional to 13,574.31, 20,361.86 and 5,138.97 is: 7,708.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574.31 : 20,361.86 = 5,138.97 : x
  2. Step 2: Convert to fraction form
    13,574.31/20,361.86 = 5,138.97/x
  3. Step 3: Cross multiply
    13,574.31x = 20,361.86 × 5,138.97
  4. Step 4: Simplify right side
    13,574.31x = 104,638,987.68
  5. Step 5: Solve for x
    x = 104,638,987.68/13,574.31
  6. Step 6: Final answer
    x = 7,708.60

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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.