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Finding the Fourth Proportional to 12,961, 17,887.40 and 7,372

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Solution

The fourth proportional to 12,961, 17,887.40 and 7,372 is: 10,174.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,961 : 17,887.40 = 7,372 : x
  2. Step 2: Convert to fraction form
    12,961/17,887.40 = 7,372/x
  3. Step 3: Cross multiply
    12,961x = 17,887.40 × 7,372
  4. Step 4: Simplify right side
    12,961x = 131,865,912.80
  5. Step 5: Solve for x
    x = 131,865,912.80/12,961
  6. Step 6: Final answer
    x = 10,174.05

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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.