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Finding the Fourth Proportional to 8,940.64, 13,410.54 and 3,097.72

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Solution

The fourth proportional to 8,940.64, 13,410.54 and 3,097.72 is: 4,646.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,940.64 : 13,410.54 = 3,097.72 : x
  2. Step 2: Convert to fraction form
    8,940.64/13,410.54 = 3,097.72/x
  3. Step 3: Cross multiply
    8,940.64x = 13,410.54 × 3,097.72
  4. Step 4: Simplify right side
    8,940.64x = 41,542,097.97
  5. Step 5: Solve for x
    x = 41,542,097.97/8,940.64
  6. Step 6: Final answer
    x = 4,646.43

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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.