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Finding the Fourth Proportional to 8,221.72, 11,361 and 5,859.76

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Solution

The fourth proportional to 8,221.72, 11,361 and 5,859.76 is: 8,097.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.72 : 11,361 = 5,859.76 : x
  2. Step 2: Convert to fraction form
    8,221.72/11,361 = 5,859.76/x
  3. Step 3: Cross multiply
    8,221.72x = 11,361 × 5,859.76
  4. Step 4: Simplify right side
    8,221.72x = 66,572,733.36
  5. Step 5: Solve for x
    x = 66,572,733.36/8,221.72
  6. Step 6: Final answer
    x = 8,097.18

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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.