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Finding the Fourth Proportional to 15,174.96, 20,942.82 and 9,208.14

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Solution

The fourth proportional to 15,174.96, 20,942.82 and 9,208.14 is: 12,708.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,174.96 : 20,942.82 = 9,208.14 : x
  2. Step 2: Convert to fraction form
    15,174.96/20,942.82 = 9,208.14/x
  3. Step 3: Cross multiply
    15,174.96x = 20,942.82 × 9,208.14
  4. Step 4: Simplify right side
    15,174.96x = 192,844,418.55
  5. Step 5: Solve for x
    x = 192,844,418.55/15,174.96
  6. Step 6: Final answer
    x = 12,708.07

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1.5x scale

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.