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Finding the Fourth Proportional to 12,922, 17,832.38 and 7,256.78

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Solution

The fourth proportional to 12,922, 17,832.38 and 7,256.78 is: 10,014.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,922 : 17,832.38 = 7,256.78 : x
  2. Step 2: Convert to fraction form
    12,922/17,832.38 = 7,256.78/x
  3. Step 3: Cross multiply
    12,922x = 17,832.38 × 7,256.78
  4. Step 4: Simplify right side
    12,922x = 129,405,658.54
  5. Step 5: Solve for x
    x = 129,405,658.54/12,922
  6. Step 6: Final answer
    x = 10,014.37

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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.