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Finding the Fourth Proportional to 12,199.73, 18,299.50 and 3,434.45

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Solution

The fourth proportional to 12,199.73, 18,299.50 and 3,434.45 is: 5,151.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.73 : 18,299.50 = 3,434.45 : x
  2. Step 2: Convert to fraction form
    12,199.73/18,299.50 = 3,434.45/x
  3. Step 3: Cross multiply
    12,199.73x = 18,299.50 × 3,434.45
  4. Step 4: Simplify right side
    12,199.73x = 62,848,617.69
  5. Step 5: Solve for x
    x = 62,848,617.69/12,199.73
  6. Step 6: Final answer
    x = 5,151.64

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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.