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Finding the Fourth Proportional to 7,785.91, 11,678.73 and 1,942.44

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Solution

The fourth proportional to 7,785.91, 11,678.73 and 1,942.44 is: 2,913.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.91 : 11,678.73 = 1,942.44 : x
  2. Step 2: Convert to fraction form
    7,785.91/11,678.73 = 1,942.44/x
  3. Step 3: Cross multiply
    7,785.91x = 11,678.73 × 1,942.44
  4. Step 4: Simplify right side
    7,785.91x = 22,685,232.30
  5. Step 5: Solve for x
    x = 22,685,232.30/7,785.91
  6. Step 6: Final answer
    x = 2,913.63

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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.