Home / 7,782.28-11,671.71-2,234.39

Finding the Fourth Proportional to 7,782.28, 11,671.71 and 2,234.39

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Solution

The fourth proportional to 7,782.28, 11,671.71 and 2,234.39 is: 3,351.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.28 : 11,671.71 = 2,234.39 : x
  2. Step 2: Convert to fraction form
    7,782.28/11,671.71 = 2,234.39/x
  3. Step 3: Cross multiply
    7,782.28x = 11,671.71 × 2,234.39
  4. Step 4: Simplify right side
    7,782.28x = 26,079,152.11
  5. Step 5: Solve for x
    x = 26,079,152.11/7,782.28
  6. Step 6: Final answer
    x = 3,351.09

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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.