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Finding the Fourth Proportional to 7,077.87, 9,766.03 and 4,092.61

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Solution

The fourth proportional to 7,077.87, 9,766.03 and 4,092.61 is: 5,646.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.87 : 9,766.03 = 4,092.61 : x
  2. Step 2: Convert to fraction form
    7,077.87/9,766.03 = 4,092.61/x
  3. Step 3: Cross multiply
    7,077.87x = 9,766.03 × 4,092.61
  4. Step 4: Simplify right side
    7,077.87x = 39,968,552.04
  5. Step 5: Solve for x
    x = 39,968,552.04/7,077.87
  6. Step 6: Final answer
    x = 5,646.97

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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.