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Finding the Fourth Proportional to 12,405.92, 18,593.06 and 5,817.58

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Solution

The fourth proportional to 12,405.92, 18,593.06 and 5,817.58 is: 8,718.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405.92 : 18,593.06 = 5,817.58 : x
  2. Step 2: Convert to fraction form
    12,405.92/18,593.06 = 5,817.58/x
  3. Step 3: Cross multiply
    12,405.92x = 18,593.06 × 5,817.58
  4. Step 4: Simplify right side
    12,405.92x = 108,166,613.99
  5. Step 5: Solve for x
    x = 108,166,613.99/12,405.92
  6. Step 6: Final answer
    x = 8,718.95

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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.