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Finding the Fourth Proportional to 8,736.12, 13,103.64 and 2,893.32

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Solution

The fourth proportional to 8,736.12, 13,103.64 and 2,893.32 is: 4,339.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,736.12 : 13,103.64 = 2,893.32 : x
  2. Step 2: Convert to fraction form
    8,736.12/13,103.64 = 2,893.32/x
  3. Step 3: Cross multiply
    8,736.12x = 13,103.64 × 2,893.32
  4. Step 4: Simplify right side
    8,736.12x = 37,913,023.68
  5. Step 5: Solve for x
    x = 37,913,023.68/8,736.12
  6. Step 6: Final answer
    x = 4,339.80

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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.