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Finding the Fourth Proportional to 12,659.91, 18,974.46 and 9,529.83

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Solution

The fourth proportional to 12,659.91, 18,974.46 and 9,529.83 is: 14,283.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,659.91 : 18,974.46 = 9,529.83 : x
  2. Step 2: Convert to fraction form
    12,659.91/18,974.46 = 9,529.83/x
  3. Step 3: Cross multiply
    12,659.91x = 18,974.46 × 9,529.83
  4. Step 4: Simplify right side
    12,659.91x = 180,823,378.14
  5. Step 5: Solve for x
    x = 180,823,378.14/12,659.91
  6. Step 6: Final answer
    x = 14,283.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.