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Finding the Fourth Proportional to 12,249.70, 16,900.40 and 8,471.46

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Solution

The fourth proportional to 12,249.70, 16,900.40 and 8,471.46 is: 11,687.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,249.70 : 16,900.40 = 8,471.46 : x
  2. Step 2: Convert to fraction form
    12,249.70/16,900.40 = 8,471.46/x
  3. Step 3: Cross multiply
    12,249.70x = 16,900.40 × 8,471.46
  4. Step 4: Simplify right side
    12,249.70x = 143,171,062.58
  5. Step 5: Solve for x
    x = 143,171,062.58/12,249.70
  6. Step 6: Final answer
    x = 11,687.72

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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.