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Finding the Fourth Proportional to 17,230.71, 25,825.21 and 7,857.90

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Solution

The fourth proportional to 17,230.71, 25,825.21 and 7,857.90 is: 11,777.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,230.71 : 25,825.21 = 7,857.90 : x
  2. Step 2: Convert to fraction form
    17,230.71/25,825.21 = 7,857.90/x
  3. Step 3: Cross multiply
    17,230.71x = 25,825.21 × 7,857.90
  4. Step 4: Simplify right side
    17,230.71x = 202,931,917.66
  5. Step 5: Solve for x
    x = 202,931,917.66/17,230.71
  6. Step 6: Final answer
    x = 11,777.34

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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.