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Finding the Fourth Proportional to 5,408.69, 8,113.60 and 2,289.01

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Solution

The fourth proportional to 5,408.69, 8,113.60 and 2,289.01 is: 3,433.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.69 : 8,113.60 = 2,289.01 : x
  2. Step 2: Convert to fraction form
    5,408.69/8,113.60 = 2,289.01/x
  3. Step 3: Cross multiply
    5,408.69x = 8,113.60 × 2,289.01
  4. Step 4: Simplify right side
    5,408.69x = 18,572,104.50
  5. Step 5: Solve for x
    x = 18,572,104.50/5,408.69
  6. Step 6: Final answer
    x = 3,433.76

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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.