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Finding the Fourth Proportional to 13,906.78, 20,857.93 and 6,114.14

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Solution

The fourth proportional to 13,906.78, 20,857.93 and 6,114.14 is: 9,170.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906.78 : 20,857.93 = 6,114.14 : x
  2. Step 2: Convert to fraction form
    13,906.78/20,857.93 = 6,114.14/x
  3. Step 3: Cross multiply
    13,906.78x = 20,857.93 × 6,114.14
  4. Step 4: Simplify right side
    13,906.78x = 127,528,304.13
  5. Step 5: Solve for x
    x = 127,528,304.13/13,906.78
  6. Step 6: Final answer
    x = 9,170.23

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1.5x scale

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.