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Finding the Fourth Proportional to 7,142.88, 9,857.16 and 3,999

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Solution

The fourth proportional to 7,142.88, 9,857.16 and 3,999 is: 5,518.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.88 : 9,857.16 = 3,999 : x
  2. Step 2: Convert to fraction form
    7,142.88/9,857.16 = 3,999/x
  3. Step 3: Cross multiply
    7,142.88x = 9,857.16 × 3,999
  4. Step 4: Simplify right side
    7,142.88x = 39,418,782.84
  5. Step 5: Solve for x
    x = 39,418,782.84/7,142.88
  6. Step 6: Final answer
    x = 5,518.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.