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Finding the Fourth Proportional to 12,691.94, 17,512.44 and 8,215.07

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Solution

The fourth proportional to 12,691.94, 17,512.44 and 8,215.07 is: 11,335.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,691.94 : 17,512.44 = 8,215.07 : x
  2. Step 2: Convert to fraction form
    12,691.94/17,512.44 = 8,215.07/x
  3. Step 3: Cross multiply
    12,691.94x = 17,512.44 × 8,215.07
  4. Step 4: Simplify right side
    12,691.94x = 143,865,897.23
  5. Step 5: Solve for x
    x = 143,865,897.23/12,691.94
  6. Step 6: Final answer
    x = 11,335.22

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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.