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Finding the Fourth Proportional to 13,530, 18,671.40 and 8,223.84

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Solution

The fourth proportional to 13,530, 18,671.40 and 8,223.84 is: 11,348.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,530 : 18,671.40 = 8,223.84 : x
  2. Step 2: Convert to fraction form
    13,530/18,671.40 = 8,223.84/x
  3. Step 3: Cross multiply
    13,530x = 18,671.40 × 8,223.84
  4. Step 4: Simplify right side
    13,530x = 153,550,606.18
  5. Step 5: Solve for x
    x = 153,550,606.18/13,530
  6. Step 6: Final answer
    x = 11,348.90

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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.