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Finding the Fourth Proportional to 12,529, 17,290.02 and 7,561

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Solution

The fourth proportional to 12,529, 17,290.02 and 7,561 is: 10,434.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,529 : 17,290.02 = 7,561 : x
  2. Step 2: Convert to fraction form
    12,529/17,290.02 = 7,561/x
  3. Step 3: Cross multiply
    12,529x = 17,290.02 × 7,561
  4. Step 4: Simplify right side
    12,529x = 130,729,841.22
  5. Step 5: Solve for x
    x = 130,729,841.22/12,529
  6. Step 6: Final answer
    x = 10,434.18

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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.