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Finding the Fourth Proportional to 8,041.28, 11,093.26 and 5,209.61

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Solution

The fourth proportional to 8,041.28, 11,093.26 and 5,209.61 is: 7,186.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,041.28 : 11,093.26 = 5,209.61 : x
  2. Step 2: Convert to fraction form
    8,041.28/11,093.26 = 5,209.61/x
  3. Step 3: Cross multiply
    8,041.28x = 11,093.26 × 5,209.61
  4. Step 4: Simplify right side
    8,041.28x = 57,791,476.71
  5. Step 5: Solve for x
    x = 57,791,476.71/8,041.28
  6. Step 6: Final answer
    x = 7,186.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.