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Finding the Fourth Proportional to 22,684.54, 31,297.44 and 13,729.18

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Solution

The fourth proportional to 22,684.54, 31,297.44 and 13,729.18 is: 18,941.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,684.54 : 31,297.44 = 13,729.18 : x
  2. Step 2: Convert to fraction form
    22,684.54/31,297.44 = 13,729.18/x
  3. Step 3: Cross multiply
    22,684.54x = 31,297.44 × 13,729.18
  4. Step 4: Simplify right side
    22,684.54x = 429,688,187.30
  5. Step 5: Solve for x
    x = 429,688,187.30/22,684.54
  6. Step 6: Final answer
    x = 18,941.90

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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.