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Finding the Fourth Proportional to 7,567.40, 11,351.10 and 3,408.86

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Solution

The fourth proportional to 7,567.40, 11,351.10 and 3,408.86 is: 5,113.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567.40 : 11,351.10 = 3,408.86 : x
  2. Step 2: Convert to fraction form
    7,567.40/11,351.10 = 3,408.86/x
  3. Step 3: Cross multiply
    7,567.40x = 11,351.10 × 3,408.86
  4. Step 4: Simplify right side
    7,567.40x = 38,694,310.75
  5. Step 5: Solve for x
    x = 38,694,310.75/7,567.40
  6. Step 6: Final answer
    x = 5,113.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.