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Finding the Fourth Proportional to 7,990.52, 11,989.49 and 4,097.66

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Solution

The fourth proportional to 7,990.52, 11,989.49 and 4,097.66 is: 6,148.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,990.52 : 11,989.49 = 4,097.66 : x
  2. Step 2: Convert to fraction form
    7,990.52/11,989.49 = 4,097.66/x
  3. Step 3: Cross multiply
    7,990.52x = 11,989.49 × 4,097.66
  4. Step 4: Simplify right side
    7,990.52x = 49,128,773.16
  5. Step 5: Solve for x
    x = 49,128,773.16/7,990.52
  6. Step 6: Final answer
    x = 6,148.39

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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.