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Finding the Fourth Proportional to 12,203.03, 16,840.07 and 6,825.40

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Solution

The fourth proportional to 12,203.03, 16,840.07 and 6,825.40 is: 9,418.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.03 : 16,840.07 = 6,825.40 : x
  2. Step 2: Convert to fraction form
    12,203.03/16,840.07 = 6,825.40/x
  3. Step 3: Cross multiply
    12,203.03x = 16,840.07 × 6,825.40
  4. Step 4: Simplify right side
    12,203.03x = 114,940,137.55
  5. Step 5: Solve for x
    x = 114,940,137.55/12,203.03
  6. Step 6: Final answer
    x = 9,418.99

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