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Finding the Fourth Proportional to 6,812.54, 10,211.67 and 3,809.78

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Solution

The fourth proportional to 6,812.54, 10,211.67 and 3,809.78 is: 5,710.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.54 : 10,211.67 = 3,809.78 : x
  2. Step 2: Convert to fraction form
    6,812.54/10,211.67 = 3,809.78/x
  3. Step 3: Cross multiply
    6,812.54x = 10,211.67 × 3,809.78
  4. Step 4: Simplify right side
    6,812.54x = 38,904,216.13
  5. Step 5: Solve for x
    x = 38,904,216.13/6,812.54
  6. Step 6: Final answer
    x = 5,710.68

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1.5x scale

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.