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Finding the Fourth Proportional to 8,203, 12,309.54 and 4,310.20

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Solution

The fourth proportional to 8,203, 12,309.54 and 4,310.20 is: 6,467.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203 : 12,309.54 = 4,310.20 : x
  2. Step 2: Convert to fraction form
    8,203/12,309.54 = 4,310.20/x
  3. Step 3: Cross multiply
    8,203x = 12,309.54 × 4,310.20
  4. Step 4: Simplify right side
    8,203x = 53,056,579.31
  5. Step 5: Solve for x
    x = 53,056,579.31/8,203
  6. Step 6: Final answer
    x = 6,467.95

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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.