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Finding the Fourth Proportional to 6,460.70, 8,912.46 and 4,223.88

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Solution

The fourth proportional to 6,460.70, 8,912.46 and 4,223.88 is: 5,826.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.70 : 8,912.46 = 4,223.88 : x
  2. Step 2: Convert to fraction form
    6,460.70/8,912.46 = 4,223.88/x
  3. Step 3: Cross multiply
    6,460.70x = 8,912.46 × 4,223.88
  4. Step 4: Simplify right side
    6,460.70x = 37,645,161.54
  5. Step 5: Solve for x
    x = 37,645,161.54/6,460.70
  6. Step 6: Final answer
    x = 5,826.79

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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.