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Finding the Fourth Proportional to 8,099.80, 12,152.40 and 3,942.40

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Solution

The fourth proportional to 8,099.80, 12,152.40 and 3,942.40 is: 5,914.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.80 : 12,152.40 = 3,942.40 : x
  2. Step 2: Convert to fraction form
    8,099.80/12,152.40 = 3,942.40/x
  3. Step 3: Cross multiply
    8,099.80x = 12,152.40 × 3,942.40
  4. Step 4: Simplify right side
    8,099.80x = 47,909,621.76
  5. Step 5: Solve for x
    x = 47,909,621.76/8,099.80
  6. Step 6: Final answer
    x = 5,914.91

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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.