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Finding the Fourth Proportional to 7,311, 10,089.18 and 3,999

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Solution

The fourth proportional to 7,311, 10,089.18 and 3,999 is: 5,518.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311 : 10,089.18 = 3,999 : x
  2. Step 2: Convert to fraction form
    7,311/10,089.18 = 3,999/x
  3. Step 3: Cross multiply
    7,311x = 10,089.18 × 3,999
  4. Step 4: Simplify right side
    7,311x = 40,346,630.82
  5. Step 5: Solve for x
    x = 40,346,630.82/7,311
  6. Step 6: Final answer
    x = 5,518.62

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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.