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Finding the Fourth Proportional to 6,812.76, 9,401.46 and 3,787.68

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Solution

The fourth proportional to 6,812.76, 9,401.46 and 3,787.68 is: 5,226.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.76 : 9,401.46 = 3,787.68 : x
  2. Step 2: Convert to fraction form
    6,812.76/9,401.46 = 3,787.68/x
  3. Step 3: Cross multiply
    6,812.76x = 9,401.46 × 3,787.68
  4. Step 4: Simplify right side
    6,812.76x = 35,609,722.01
  5. Step 5: Solve for x
    x = 35,609,722.01/6,812.76
  6. Step 6: Final answer
    x = 5,226.92

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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.