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Finding the Fourth Proportional to 9,108.10, 13,645.35 and 5,200.90

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Solution

The fourth proportional to 9,108.10, 13,645.35 and 5,200.90 is: 7,791.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,108.10 : 13,645.35 = 5,200.90 : x
  2. Step 2: Convert to fraction form
    9,108.10/13,645.35 = 5,200.90/x
  3. Step 3: Cross multiply
    9,108.10x = 13,645.35 × 5,200.90
  4. Step 4: Simplify right side
    9,108.10x = 70,968,100.82
  5. Step 5: Solve for x
    x = 70,968,100.82/9,108.10
  6. Step 6: Final answer
    x = 7,791.76

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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.