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Finding the Fourth Proportional to 7,243.56, 9,991.35 and 5,668.92

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Solution

The fourth proportional to 7,243.56, 9,991.35 and 5,668.92 is: 7,819.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243.56 : 9,991.35 = 5,668.92 : x
  2. Step 2: Convert to fraction form
    7,243.56/9,991.35 = 5,668.92/x
  3. Step 3: Cross multiply
    7,243.56x = 9,991.35 × 5,668.92
  4. Step 4: Simplify right side
    7,243.56x = 56,640,163.84
  5. Step 5: Solve for x
    x = 56,640,163.84/7,243.56
  6. Step 6: Final answer
    x = 7,819.38

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1.5x scale

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.