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Finding the Fourth Proportional to 7,722.84, 11,584.17 and 1,879.46

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Solution

The fourth proportional to 7,722.84, 11,584.17 and 1,879.46 is: 2,819.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.84 : 11,584.17 = 1,879.46 : x
  2. Step 2: Convert to fraction form
    7,722.84/11,584.17 = 1,879.46/x
  3. Step 3: Cross multiply
    7,722.84x = 11,584.17 × 1,879.46
  4. Step 4: Simplify right side
    7,722.84x = 21,771,984.15
  5. Step 5: Solve for x
    x = 21,771,984.15/7,722.84
  6. Step 6: Final answer
    x = 2,819.17

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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.