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Finding the Fourth Proportional to 6,426.36, 8,863.30 and 4,189

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Solution

The fourth proportional to 6,426.36, 8,863.30 and 4,189 is: 5,777.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426.36 : 8,863.30 = 4,189 : x
  2. Step 2: Convert to fraction form
    6,426.36/8,863.30 = 4,189/x
  3. Step 3: Cross multiply
    6,426.36x = 8,863.30 × 4,189
  4. Step 4: Simplify right side
    6,426.36x = 37,128,363.70
  5. Step 5: Solve for x
    x = 37,128,363.70/6,426.36
  6. Step 6: Final answer
    x = 5,777.51

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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.