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Finding the Fourth Proportional to 12,190.68, 16,823.10 and 6,601.68

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Solution

The fourth proportional to 12,190.68, 16,823.10 and 6,601.68 is: 9,110.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,190.68 : 16,823.10 = 6,601.68 : x
  2. Step 2: Convert to fraction form
    12,190.68/16,823.10 = 6,601.68/x
  3. Step 3: Cross multiply
    12,190.68x = 16,823.10 × 6,601.68
  4. Step 4: Simplify right side
    12,190.68x = 111,060,722.81
  5. Step 5: Solve for x
    x = 111,060,722.81/12,190.68
  6. Step 6: Final answer
    x = 9,110.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.