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Finding the Fourth Proportional to 9,195.90, 13,793.85 and 8,102.40

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Solution

The fourth proportional to 9,195.90, 13,793.85 and 8,102.40 is: 12,153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195.90 : 13,793.85 = 8,102.40 : x
  2. Step 2: Convert to fraction form
    9,195.90/13,793.85 = 8,102.40/x
  3. Step 3: Cross multiply
    9,195.90x = 13,793.85 × 8,102.40
  4. Step 4: Simplify right side
    9,195.90x = 111,763,290.24
  5. Step 5: Solve for x
    x = 111,763,290.24/9,195.90
  6. Step 6: Final answer
    x = 12,153.60

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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.