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Finding the Fourth Proportional to 7,221.96, 10,831.05 and 3,059.82

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Solution

The fourth proportional to 7,221.96, 10,831.05 and 3,059.82 is: 4,588.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.96 : 10,831.05 = 3,059.82 : x
  2. Step 2: Convert to fraction form
    7,221.96/10,831.05 = 3,059.82/x
  3. Step 3: Cross multiply
    7,221.96x = 10,831.05 × 3,059.82
  4. Step 4: Simplify right side
    7,221.96x = 33,141,063.41
  5. Step 5: Solve for x
    x = 33,141,063.41/7,221.96
  6. Step 6: Final answer
    x = 4,588.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.