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Finding the Fourth Proportional to 12,405.96, 18,593.01 and 5,817.60

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Solution

The fourth proportional to 12,405.96, 18,593.01 and 5,817.60 is: 8,718.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405.96 : 18,593.01 = 5,817.60 : x
  2. Step 2: Convert to fraction form
    12,405.96/18,593.01 = 5,817.60/x
  3. Step 3: Cross multiply
    12,405.96x = 18,593.01 × 5,817.60
  4. Step 4: Simplify right side
    12,405.96x = 108,166,694.98
  5. Step 5: Solve for x
    x = 108,166,694.98/12,405.96
  6. Step 6: Final answer
    x = 8,718.93

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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.