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Finding the Fourth Proportional to 13,936.81, 20,906.20 and 5,616.87

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Solution

The fourth proportional to 13,936.81, 20,906.20 and 5,616.87 is: 8,425.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,936.81 : 20,906.20 = 5,616.87 : x
  2. Step 2: Convert to fraction form
    13,936.81/20,906.20 = 5,616.87/x
  3. Step 3: Cross multiply
    13,936.81x = 20,906.20 × 5,616.87
  4. Step 4: Simplify right side
    13,936.81x = 117,427,395.02
  5. Step 5: Solve for x
    x = 117,427,395.02/13,936.81
  6. Step 6: Final answer
    x = 8,425.70

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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.