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Finding the Fourth Proportional to 6,812.78, 9,400.40 and 3,828.74

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Solution

The fourth proportional to 6,812.78, 9,400.40 and 3,828.74 is: 5,282.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.78 : 9,400.40 = 3,828.74 : x
  2. Step 2: Convert to fraction form
    6,812.78/9,400.40 = 3,828.74/x
  3. Step 3: Cross multiply
    6,812.78x = 9,400.40 × 3,828.74
  4. Step 4: Simplify right side
    6,812.78x = 35,991,687.50
  5. Step 5: Solve for x
    x = 35,991,687.50/6,812.78
  6. Step 6: Final answer
    x = 5,282.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.