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Finding the Fourth Proportional to 5,783.22, 7,982.10 and 3,658.62

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Solution

The fourth proportional to 5,783.22, 7,982.10 and 3,658.62 is: 5,049.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.22 : 7,982.10 = 3,658.62 : x
  2. Step 2: Convert to fraction form
    5,783.22/7,982.10 = 3,658.62/x
  3. Step 3: Cross multiply
    5,783.22x = 7,982.10 × 3,658.62
  4. Step 4: Simplify right side
    5,783.22x = 29,203,470.70
  5. Step 5: Solve for x
    x = 29,203,470.70/5,783.22
  6. Step 6: Final answer
    x = 5,049.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.