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Finding the Fourth Proportional to 6,608.64, 9,912.99 and 1,678.28

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Solution

The fourth proportional to 6,608.64, 9,912.99 and 1,678.28 is: 2,517.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,608.64 : 9,912.99 = 1,678.28 : x
  2. Step 2: Convert to fraction form
    6,608.64/9,912.99 = 1,678.28/x
  3. Step 3: Cross multiply
    6,608.64x = 9,912.99 × 1,678.28
  4. Step 4: Simplify right side
    6,608.64x = 16,636,772.86
  5. Step 5: Solve for x
    x = 16,636,772.86/6,608.64
  6. Step 6: Final answer
    x = 2,517.43

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1.5x scale

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.