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Finding the Fourth Proportional to 6,812.64, 9,400.86 and 3,828.06

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Solution

The fourth proportional to 6,812.64, 9,400.86 and 3,828.06 is: 5,282.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.64 : 9,400.86 = 3,828.06 : x
  2. Step 2: Convert to fraction form
    6,812.64/9,400.86 = 3,828.06/x
  3. Step 3: Cross multiply
    6,812.64x = 9,400.86 × 3,828.06
  4. Step 4: Simplify right side
    6,812.64x = 35,987,056.13
  5. Step 5: Solve for x
    x = 35,987,056.13/6,812.64
  6. Step 6: Final answer
    x = 5,282.40

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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.