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Finding the Fourth Proportional to 12,694.71, 17,512.84 and 8,219.91

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Solution

The fourth proportional to 12,694.71, 17,512.84 and 8,219.91 is: 11,339.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,694.71 : 17,512.84 = 8,219.91 : x
  2. Step 2: Convert to fraction form
    12,694.71/17,512.84 = 8,219.91/x
  3. Step 3: Cross multiply
    12,694.71x = 17,512.84 × 8,219.91
  4. Step 4: Simplify right side
    12,694.71x = 143,953,968.64
  5. Step 5: Solve for x
    x = 143,953,968.64/12,694.71
  6. Step 6: Final answer
    x = 11,339.68

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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.