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Finding the Fourth Proportional to 17,311, 25,970.82 and 4,999

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Solution

The fourth proportional to 17,311, 25,970.82 and 4,999 is: 7,499.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,311 : 25,970.82 = 4,999 : x
  2. Step 2: Convert to fraction form
    17,311/25,970.82 = 4,999/x
  3. Step 3: Cross multiply
    17,311x = 25,970.82 × 4,999
  4. Step 4: Simplify right side
    17,311x = 129,828,129.18
  5. Step 5: Solve for x
    x = 129,828,129.18/17,311
  6. Step 6: Final answer
    x = 7,499.75

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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.