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Finding the Fourth Proportional to 7,957.22, 11,929.61 and 3,571.61

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Solution

The fourth proportional to 7,957.22, 11,929.61 and 3,571.61 is: 5,354.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,957.22 : 11,929.61 = 3,571.61 : x
  2. Step 2: Convert to fraction form
    7,957.22/11,929.61 = 3,571.61/x
  3. Step 3: Cross multiply
    7,957.22x = 11,929.61 × 3,571.61
  4. Step 4: Simplify right side
    7,957.22x = 42,607,863.65
  5. Step 5: Solve for x
    x = 42,607,863.65/7,957.22
  6. Step 6: Final answer
    x = 5,354.62

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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.