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Finding the Fourth Proportional to 6,812.55, 9,400.32 and 3,827.81

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Solution

The fourth proportional to 6,812.55, 9,400.32 and 3,827.81 is: 5,281.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.55 : 9,400.32 = 3,827.81 : x
  2. Step 2: Convert to fraction form
    6,812.55/9,400.32 = 3,827.81/x
  3. Step 3: Cross multiply
    6,812.55x = 9,400.32 × 3,827.81
  4. Step 4: Simplify right side
    6,812.55x = 35,982,662.40
  5. Step 5: Solve for x
    x = 35,982,662.40/6,812.55
  6. Step 6: Final answer
    x = 5,281.82

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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.