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Finding the Fourth Proportional to 17,447.80, 26,161.16 and 7,828.92

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Solution

The fourth proportional to 17,447.80, 26,161.16 and 7,828.92 is: 11,738.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,447.80 : 26,161.16 = 7,828.92 : x
  2. Step 2: Convert to fraction form
    17,447.80/26,161.16 = 7,828.92/x
  3. Step 3: Cross multiply
    17,447.80x = 26,161.16 × 7,828.92
  4. Step 4: Simplify right side
    17,447.80x = 204,813,628.75
  5. Step 5: Solve for x
    x = 204,813,628.75/17,447.80
  6. Step 6: Final answer
    x = 11,738.65

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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.