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Finding the Fourth Proportional to 8,115.78, 12,173.04 and 3,435.60

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Solution

The fourth proportional to 8,115.78, 12,173.04 and 3,435.60 is: 5,153.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,115.78 : 12,173.04 = 3,435.60 : x
  2. Step 2: Convert to fraction form
    8,115.78/12,173.04 = 3,435.60/x
  3. Step 3: Cross multiply
    8,115.78x = 12,173.04 × 3,435.60
  4. Step 4: Simplify right side
    8,115.78x = 41,821,696.22
  5. Step 5: Solve for x
    x = 41,821,696.22/8,115.78
  6. Step 6: Final answer
    x = 5,153.13

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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.