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Finding the Fourth Proportional to 7,221.71, 10,831.56 and 2,291.85

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Solution

The fourth proportional to 7,221.71, 10,831.56 and 2,291.85 is: 3,437.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.71 : 10,831.56 = 2,291.85 : x
  2. Step 2: Convert to fraction form
    7,221.71/10,831.56 = 2,291.85/x
  3. Step 3: Cross multiply
    7,221.71x = 10,831.56 × 2,291.85
  4. Step 4: Simplify right side
    7,221.71x = 24,824,310.79
  5. Step 5: Solve for x
    x = 24,824,310.79/7,221.71
  6. Step 6: Final answer
    x = 3,437.46

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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.