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Finding the Fourth Proportional to 12,328, 17,012.64 and 8,137.60

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Solution

The fourth proportional to 12,328, 17,012.64 and 8,137.60 is: 11,229.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,328 : 17,012.64 = 8,137.60 : x
  2. Step 2: Convert to fraction form
    12,328/17,012.64 = 8,137.60/x
  3. Step 3: Cross multiply
    12,328x = 17,012.64 × 8,137.60
  4. Step 4: Simplify right side
    12,328x = 138,442,059.26
  5. Step 5: Solve for x
    x = 138,442,059.26/12,328
  6. Step 6: Final answer
    x = 11,229.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.