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Finding the Fourth Proportional to 12,694.82, 17,513.01 and 8,220.04

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Solution

The fourth proportional to 12,694.82, 17,513.01 and 8,220.04 is: 11,339.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,694.82 : 17,513.01 = 8,220.04 : x
  2. Step 2: Convert to fraction form
    12,694.82/17,513.01 = 8,220.04/x
  3. Step 3: Cross multiply
    12,694.82x = 17,513.01 × 8,220.04
  4. Step 4: Simplify right side
    12,694.82x = 143,957,598.94
  5. Step 5: Solve for x
    x = 143,957,598.94/12,694.82
  6. Step 6: Final answer
    x = 11,339.87

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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.