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Finding the Fourth Proportional to 5,842.42, 8,763.63 and 3,105.78

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Solution

The fourth proportional to 5,842.42, 8,763.63 and 3,105.78 is: 4,658.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.42 : 8,763.63 = 3,105.78 : x
  2. Step 2: Convert to fraction form
    5,842.42/8,763.63 = 3,105.78/x
  3. Step 3: Cross multiply
    5,842.42x = 8,763.63 × 3,105.78
  4. Step 4: Simplify right side
    5,842.42x = 27,217,906.78
  5. Step 5: Solve for x
    x = 27,217,906.78/5,842.42
  6. Step 6: Final answer
    x = 4,658.67

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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.