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Finding the Fourth Proportional to 13,924, 20,890 and 6,906.16

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Solution

The fourth proportional to 13,924, 20,890 and 6,906.16 is: 10,361.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,924 : 20,890 = 6,906.16 : x
  2. Step 2: Convert to fraction form
    13,924/20,890 = 6,906.16/x
  3. Step 3: Cross multiply
    13,924x = 20,890 × 6,906.16
  4. Step 4: Simplify right side
    13,924x = 144,269,682.40
  5. Step 5: Solve for x
    x = 144,269,682.40/13,924
  6. Step 6: Final answer
    x = 10,361.22

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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.