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Finding the Fourth Proportional to 13,361.90, 18,438.64 and 7,394.02

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Solution

The fourth proportional to 13,361.90, 18,438.64 and 7,394.02 is: 10,203.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,361.90 : 18,438.64 = 7,394.02 : x
  2. Step 2: Convert to fraction form
    13,361.90/18,438.64 = 7,394.02/x
  3. Step 3: Cross multiply
    13,361.90x = 18,438.64 × 7,394.02
  4. Step 4: Simplify right side
    13,361.90x = 136,335,608.35
  5. Step 5: Solve for x
    x = 136,335,608.35/13,361.90
  6. Step 6: Final answer
    x = 10,203.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.