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Finding the Fourth Proportional to 12,942, 17,859.96 and 7,353

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Solution

The fourth proportional to 12,942, 17,859.96 and 7,353 is: 10,147.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,942 : 17,859.96 = 7,353 : x
  2. Step 2: Convert to fraction form
    12,942/17,859.96 = 7,353/x
  3. Step 3: Cross multiply
    12,942x = 17,859.96 × 7,353
  4. Step 4: Simplify right side
    12,942x = 131,324,285.88
  5. Step 5: Solve for x
    x = 131,324,285.88/12,942
  6. Step 6: Final answer
    x = 10,147.14

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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.