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Finding the Fourth Proportional to 20,993, 31,494.62 and 6,401

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Solution

The fourth proportional to 20,993, 31,494.62 and 6,401 is: 9,603.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,993 : 31,494.62 = 6,401 : x
  2. Step 2: Convert to fraction form
    20,993/31,494.62 = 6,401/x
  3. Step 3: Cross multiply
    20,993x = 31,494.62 × 6,401
  4. Step 4: Simplify right side
    20,993x = 201,597,062.62
  5. Step 5: Solve for x
    x = 201,597,062.62/20,993
  6. Step 6: Final answer
    x = 9,603.06

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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.