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Finding the Fourth Proportional to 6,929.76, 10,400.24 and 3,644.80

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Solution

The fourth proportional to 6,929.76, 10,400.24 and 3,644.80 is: 5,470.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,929.76 : 10,400.24 = 3,644.80 : x
  2. Step 2: Convert to fraction form
    6,929.76/10,400.24 = 3,644.80/x
  3. Step 3: Cross multiply
    6,929.76x = 10,400.24 × 3,644.80
  4. Step 4: Simplify right side
    6,929.76x = 37,906,794.75
  5. Step 5: Solve for x
    x = 37,906,794.75/6,929.76
  6. Step 6: Final answer
    x = 5,470.15

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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.