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Finding the Fourth Proportional to 17,092.80, 25,640.16 and 4,780.80

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Solution

The fourth proportional to 17,092.80, 25,640.16 and 4,780.80 is: 7,171.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,092.80 : 25,640.16 = 4,780.80 : x
  2. Step 2: Convert to fraction form
    17,092.80/25,640.16 = 4,780.80/x
  3. Step 3: Cross multiply
    17,092.80x = 25,640.16 × 4,780.80
  4. Step 4: Simplify right side
    17,092.80x = 122,580,476.93
  5. Step 5: Solve for x
    x = 122,580,476.93/17,092.80
  6. Step 6: Final answer
    x = 7,171.47

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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.