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Finding the Fourth Proportional to 13,662.85, 20,486.06 and 9,266.98

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Solution

The fourth proportional to 13,662.85, 20,486.06 and 9,266.98 is: 13,894.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,662.85 : 20,486.06 = 9,266.98 : x
  2. Step 2: Convert to fraction form
    13,662.85/20,486.06 = 9,266.98/x
  3. Step 3: Cross multiply
    13,662.85x = 20,486.06 × 9,266.98
  4. Step 4: Simplify right side
    13,662.85x = 189,843,759.53
  5. Step 5: Solve for x
    x = 189,843,759.53/13,662.85
  6. Step 6: Final answer
    x = 13,894.89

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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.