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Finding the Fourth Proportional to 13,963, 20,944.50 and 3,574.75

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Solution

The fourth proportional to 13,963, 20,944.50 and 3,574.75 is: 5,362.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,963 : 20,944.50 = 3,574.75 : x
  2. Step 2: Convert to fraction form
    13,963/20,944.50 = 3,574.75/x
  3. Step 3: Cross multiply
    13,963x = 20,944.50 × 3,574.75
  4. Step 4: Simplify right side
    13,963x = 74,871,351.38
  5. Step 5: Solve for x
    x = 74,871,351.38/13,963
  6. Step 6: Final answer
    x = 5,362.13

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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.