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Finding the Fourth Proportional to 7,229.79, 9,976.77 and 4,085.37

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Solution

The fourth proportional to 7,229.79, 9,976.77 and 4,085.37 is: 5,637.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.79 : 9,976.77 = 4,085.37 : x
  2. Step 2: Convert to fraction form
    7,229.79/9,976.77 = 4,085.37/x
  3. Step 3: Cross multiply
    7,229.79x = 9,976.77 × 4,085.37
  4. Step 4: Simplify right side
    7,229.79x = 40,758,796.85
  5. Step 5: Solve for x
    x = 40,758,796.85/7,229.79
  6. Step 6: Final answer
    x = 5,637.62

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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.