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Finding the Fourth Proportional to 17,292, 25,942.32 and 4,980

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Solution

The fourth proportional to 17,292, 25,942.32 and 4,980 is: 7,471.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,292 : 25,942.32 = 4,980 : x
  2. Step 2: Convert to fraction form
    17,292/25,942.32 = 4,980/x
  3. Step 3: Cross multiply
    17,292x = 25,942.32 × 4,980
  4. Step 4: Simplify right side
    17,292x = 129,192,753.60
  5. Step 5: Solve for x
    x = 129,192,753.60/17,292
  6. Step 6: Final answer
    x = 7,471.24

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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.