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Finding the Fourth Proportional to 6,489.82, 8,959.92 and 4,223.32

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Solution

The fourth proportional to 6,489.82, 8,959.92 and 4,223.32 is: 5,830.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.82 : 8,959.92 = 4,223.32 : x
  2. Step 2: Convert to fraction form
    6,489.82/8,959.92 = 4,223.32/x
  3. Step 3: Cross multiply
    6,489.82x = 8,959.92 × 4,223.32
  4. Step 4: Simplify right side
    6,489.82x = 37,840,609.33
  5. Step 5: Solve for x
    x = 37,840,609.33/6,489.82
  6. Step 6: Final answer
    x = 5,830.76

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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.