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Finding the Fourth Proportional to 7,204.39, 10,786.21 and 3,819.47

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Solution

The fourth proportional to 7,204.39, 10,786.21 and 3,819.47 is: 5,718.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.39 : 10,786.21 = 3,819.47 : x
  2. Step 2: Convert to fraction form
    7,204.39/10,786.21 = 3,819.47/x
  3. Step 3: Cross multiply
    7,204.39x = 10,786.21 × 3,819.47
  4. Step 4: Simplify right side
    7,204.39x = 41,197,586.41
  5. Step 5: Solve for x
    x = 41,197,586.41/7,204.39
  6. Step 6: Final answer
    x = 5,718.40

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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.