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Finding the Fourth Proportional to 17,142, 25,713 and 4,830

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Solution

The fourth proportional to 17,142, 25,713 and 4,830 is: 7,245

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,142 : 25,713 = 4,830 : x
  2. Step 2: Convert to fraction form
    17,142/25,713 = 4,830/x
  3. Step 3: Cross multiply
    17,142x = 25,713 × 4,830
  4. Step 4: Simplify right side
    17,142x = 124,193,790
  5. Step 5: Solve for x
    x = 124,193,790/17,142
  6. Step 6: Final answer
    x = 7,245

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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.