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Finding the Fourth Proportional to 7,786.68, 11,678.19 and 2,853.64

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Solution

The fourth proportional to 7,786.68, 11,678.19 and 2,853.64 is: 4,279.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.68 : 11,678.19 = 2,853.64 : x
  2. Step 2: Convert to fraction form
    7,786.68/11,678.19 = 2,853.64/x
  3. Step 3: Cross multiply
    7,786.68x = 11,678.19 × 2,853.64
  4. Step 4: Simplify right side
    7,786.68x = 33,325,350.11
  5. Step 5: Solve for x
    x = 33,325,350.11/7,786.68
  6. Step 6: Final answer
    x = 4,279.79

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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.