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Finding the Fourth Proportional to 12,309.57, 16,994.21 and 8,129.97

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Solution

The fourth proportional to 12,309.57, 16,994.21 and 8,129.97 is: 11,223.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.57 : 16,994.21 = 8,129.97 : x
  2. Step 2: Convert to fraction form
    12,309.57/16,994.21 = 8,129.97/x
  3. Step 3: Cross multiply
    12,309.57x = 16,994.21 × 8,129.97
  4. Step 4: Simplify right side
    12,309.57x = 138,162,376.82
  5. Step 5: Solve for x
    x = 138,162,376.82/12,309.57
  6. Step 6: Final answer
    x = 11,223.98

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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.