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Finding the Fourth Proportional to 5,739.95, 7,924.15 and 3,861.42

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Solution

The fourth proportional to 5,739.95, 7,924.15 and 3,861.42 is: 5,330.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.95 : 7,924.15 = 3,861.42 : x
  2. Step 2: Convert to fraction form
    5,739.95/7,924.15 = 3,861.42/x
  3. Step 3: Cross multiply
    5,739.95x = 7,924.15 × 3,861.42
  4. Step 4: Simplify right side
    5,739.95x = 30,598,446.40
  5. Step 5: Solve for x
    x = 30,598,446.40/5,739.95
  6. Step 6: Final answer
    x = 5,330.78

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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.