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Finding the Fourth Proportional to 6,912.80, 10,361.84 and 3,210.72

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Solution

The fourth proportional to 6,912.80, 10,361.84 and 3,210.72 is: 4,812.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912.80 : 10,361.84 = 3,210.72 : x
  2. Step 2: Convert to fraction form
    6,912.80/10,361.84 = 3,210.72/x
  3. Step 3: Cross multiply
    6,912.80x = 10,361.84 × 3,210.72
  4. Step 4: Simplify right side
    6,912.80x = 33,268,966.92
  5. Step 5: Solve for x
    x = 33,268,966.92/6,912.80
  6. Step 6: Final answer
    x = 4,812.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.