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Finding the Fourth Proportional to 17,019, 25,538.22 and 7,785

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Solution

The fourth proportional to 17,019, 25,538.22 and 7,785 is: 11,681.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,019 : 25,538.22 = 7,785 : x
  2. Step 2: Convert to fraction form
    17,019/25,538.22 = 7,785/x
  3. Step 3: Cross multiply
    17,019x = 25,538.22 × 7,785
  4. Step 4: Simplify right side
    17,019x = 198,815,042.70
  5. Step 5: Solve for x
    x = 198,815,042.70/17,019
  6. Step 6: Final answer
    x = 11,681.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.