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Finding the Fourth Proportional to 6,812.17, 9,400.93 and 3,828.20

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Solution

The fourth proportional to 6,812.17, 9,400.93 and 3,828.20 is: 5,282.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.17 : 9,400.93 = 3,828.20 : x
  2. Step 2: Convert to fraction form
    6,812.17/9,400.93 = 3,828.20/x
  3. Step 3: Cross multiply
    6,812.17x = 9,400.93 × 3,828.20
  4. Step 4: Simplify right side
    6,812.17x = 35,988,583.65
  5. Step 5: Solve for x
    x = 35,988,583.65/6,812.17
  6. Step 6: Final answer
    x = 5,282.99

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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.