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Finding the Fourth Proportional to 12,299.69, 18,449.64 and 3,534.60

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Solution

The fourth proportional to 12,299.69, 18,449.64 and 3,534.60 is: 5,301.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,299.69 : 18,449.64 = 3,534.60 : x
  2. Step 2: Convert to fraction form
    12,299.69/18,449.64 = 3,534.60/x
  3. Step 3: Cross multiply
    12,299.69x = 18,449.64 × 3,534.60
  4. Step 4: Simplify right side
    12,299.69x = 65,212,079.87
  5. Step 5: Solve for x
    x = 65,212,079.87/12,299.69
  6. Step 6: Final answer
    x = 5,301.93

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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.