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Finding the Fourth Proportional to 5,221.65, 7,831.26 and 2,450.24

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Solution

The fourth proportional to 5,221.65, 7,831.26 and 2,450.24 is: 3,674.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.65 : 7,831.26 = 2,450.24 : x
  2. Step 2: Convert to fraction form
    5,221.65/7,831.26 = 2,450.24/x
  3. Step 3: Cross multiply
    5,221.65x = 7,831.26 × 2,450.24
  4. Step 4: Simplify right side
    5,221.65x = 19,188,466.50
  5. Step 5: Solve for x
    x = 19,188,466.50/5,221.65
  6. Step 6: Final answer
    x = 3,674.79

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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.