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Finding the Fourth Proportional to 5,540.78, 8,311.78 and 2,421.67

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Solution

The fourth proportional to 5,540.78, 8,311.78 and 2,421.67 is: 3,632.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,540.78 : 8,311.78 = 2,421.67 : x
  2. Step 2: Convert to fraction form
    5,540.78/8,311.78 = 2,421.67/x
  3. Step 3: Cross multiply
    5,540.78x = 8,311.78 × 2,421.67
  4. Step 4: Simplify right side
    5,540.78x = 20,128,388.27
  5. Step 5: Solve for x
    x = 20,128,388.27/5,540.78
  6. Step 6: Final answer
    x = 3,632.77

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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.