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Finding the Fourth Proportional to 5,876, 8,818.30 and 3,658.07

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Solution

The fourth proportional to 5,876, 8,818.30 and 3,658.07 is: 5,489.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876 : 8,818.30 = 3,658.07 : x
  2. Step 2: Convert to fraction form
    5,876/8,818.30 = 3,658.07/x
  3. Step 3: Cross multiply
    5,876x = 8,818.30 × 3,658.07
  4. Step 4: Simplify right side
    5,876x = 32,257,958.68
  5. Step 5: Solve for x
    x = 32,257,958.68/5,876
  6. Step 6: Final answer
    x = 5,489.78

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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.