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Finding the Fourth Proportional to 3,816.85, 5,728.11 and 1,353.73

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Solution

The fourth proportional to 3,816.85, 5,728.11 and 1,353.73 is: 2,031.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.85 : 5,728.11 = 1,353.73 : x
  2. Step 2: Convert to fraction form
    3,816.85/5,728.11 = 1,353.73/x
  3. Step 3: Cross multiply
    3,816.85x = 5,728.11 × 1,353.73
  4. Step 4: Simplify right side
    3,816.85x = 7,754,314.35
  5. Step 5: Solve for x
    x = 7,754,314.35/3,816.85
  6. Step 6: Final answer
    x = 2,031.60

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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.