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Finding the Fourth Proportional to 22,268.34, 30,730.86 and 12,197.21

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Solution

The fourth proportional to 22,268.34, 30,730.86 and 12,197.21 is: 16,832.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,268.34 : 30,730.86 = 12,197.21 : x
  2. Step 2: Convert to fraction form
    22,268.34/30,730.86 = 12,197.21/x
  3. Step 3: Cross multiply
    22,268.34x = 30,730.86 × 12,197.21
  4. Step 4: Simplify right side
    22,268.34x = 374,830,599.25
  5. Step 5: Solve for x
    x = 374,830,599.25/22,268.34
  6. Step 6: Final answer
    x = 16,832.44

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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.