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Finding the Fourth Proportional to 5,213.90, 7,815.38 and 3,825.15

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Solution

The fourth proportional to 5,213.90, 7,815.38 and 3,825.15 is: 5,733.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.90 : 7,815.38 = 3,825.15 : x
  2. Step 2: Convert to fraction form
    5,213.90/7,815.38 = 3,825.15/x
  3. Step 3: Cross multiply
    5,213.90x = 7,815.38 × 3,825.15
  4. Step 4: Simplify right side
    5,213.90x = 29,894,981.68
  5. Step 5: Solve for x
    x = 29,894,981.68/5,213.90
  6. Step 6: Final answer
    x = 5,733.71

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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.