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Finding the Fourth Proportional to 12,193.48, 18,244.86 and 7,265.80

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Solution

The fourth proportional to 12,193.48, 18,244.86 and 7,265.80 is: 10,871.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.48 : 18,244.86 = 7,265.80 : x
  2. Step 2: Convert to fraction form
    12,193.48/18,244.86 = 7,265.80/x
  3. Step 3: Cross multiply
    12,193.48x = 18,244.86 × 7,265.80
  4. Step 4: Simplify right side
    12,193.48x = 132,563,503.79
  5. Step 5: Solve for x
    x = 132,563,503.79/12,193.48
  6. Step 6: Final answer
    x = 10,871.67

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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.