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Finding the Fourth Proportional to 13,822.40, 20,733.60 and 9,667.10

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Solution

The fourth proportional to 13,822.40, 20,733.60 and 9,667.10 is: 14,500.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.40 : 20,733.60 = 9,667.10 : x
  2. Step 2: Convert to fraction form
    13,822.40/20,733.60 = 9,667.10/x
  3. Step 3: Cross multiply
    13,822.40x = 20,733.60 × 9,667.10
  4. Step 4: Simplify right side
    13,822.40x = 200,433,784.56
  5. Step 5: Solve for x
    x = 200,433,784.56/13,822.40
  6. Step 6: Final answer
    x = 14,500.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.