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Finding the Fourth Proportional to 7,829.88, 11,684.10 and 6,999

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Solution

The fourth proportional to 7,829.88, 11,684.10 and 6,999 is: 10,444.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.88 : 11,684.10 = 6,999 : x
  2. Step 2: Convert to fraction form
    7,829.88/11,684.10 = 6,999/x
  3. Step 3: Cross multiply
    7,829.88x = 11,684.10 × 6,999
  4. Step 4: Simplify right side
    7,829.88x = 81,777,015.90
  5. Step 5: Solve for x
    x = 81,777,015.90/7,829.88
  6. Step 6: Final answer
    x = 10,444.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.