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Finding the Fourth Proportional to 12,831, 17,721.36 and 8,631.96

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Solution

The fourth proportional to 12,831, 17,721.36 and 8,631.96 is: 11,921.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,831 : 17,721.36 = 8,631.96 : x
  2. Step 2: Convert to fraction form
    12,831/17,721.36 = 8,631.96/x
  3. Step 3: Cross multiply
    12,831x = 17,721.36 × 8,631.96
  4. Step 4: Simplify right side
    12,831x = 152,970,070.67
  5. Step 5: Solve for x
    x = 152,970,070.67/12,831
  6. Step 6: Final answer
    x = 11,921.91

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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.