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Finding the Fourth Proportional to 14,593, 20,138.34 and 7,969

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Solution

The fourth proportional to 14,593, 20,138.34 and 7,969 is: 10,997.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,593 : 20,138.34 = 7,969 : x
  2. Step 2: Convert to fraction form
    14,593/20,138.34 = 7,969/x
  3. Step 3: Cross multiply
    14,593x = 20,138.34 × 7,969
  4. Step 4: Simplify right side
    14,593x = 160,482,431.46
  5. Step 5: Solve for x
    x = 160,482,431.46/14,593
  6. Step 6: Final answer
    x = 10,997.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.