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Finding the Fourth Proportional to 8,099.80, 12,155.01 and 2,905.67

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Solution

The fourth proportional to 8,099.80, 12,155.01 and 2,905.67 is: 4,360.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.80 : 12,155.01 = 2,905.67 : x
  2. Step 2: Convert to fraction form
    8,099.80/12,155.01 = 2,905.67/x
  3. Step 3: Cross multiply
    8,099.80x = 12,155.01 × 2,905.67
  4. Step 4: Simplify right side
    8,099.80x = 35,318,483.74
  5. Step 5: Solve for x
    x = 35,318,483.74/8,099.80
  6. Step 6: Final answer
    x = 4,360.42

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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.