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Finding the Fourth Proportional to 12,288.80, 16,944.80 and 7,806.88

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Solution

The fourth proportional to 12,288.80, 16,944.80 and 7,806.88 is: 10,764.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288.80 : 16,944.80 = 7,806.88 : x
  2. Step 2: Convert to fraction form
    12,288.80/16,944.80 = 7,806.88/x
  3. Step 3: Cross multiply
    12,288.80x = 16,944.80 × 7,806.88
  4. Step 4: Simplify right side
    12,288.80x = 132,286,020.22
  5. Step 5: Solve for x
    x = 132,286,020.22/12,288.80
  6. Step 6: Final answer
    x = 10,764.76

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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.