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Finding the Fourth Proportional to 6,456.70, 8,906.94 and 4,219.88

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Solution

The fourth proportional to 6,456.70, 8,906.94 and 4,219.88 is: 5,821.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.70 : 8,906.94 = 4,219.88 : x
  2. Step 2: Convert to fraction form
    6,456.70/8,906.94 = 4,219.88/x
  3. Step 3: Cross multiply
    6,456.70x = 8,906.94 × 4,219.88
  4. Step 4: Simplify right side
    6,456.70x = 37,586,217.97
  5. Step 5: Solve for x
    x = 37,586,217.97/6,456.70
  6. Step 6: Final answer
    x = 5,821.27

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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.