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Finding the Fourth Proportional to 12,295.68, 18,443.28 and 7,366.68

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Solution

The fourth proportional to 12,295.68, 18,443.28 and 7,366.68 is: 11,049.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,295.68 : 18,443.28 = 7,366.68 : x
  2. Step 2: Convert to fraction form
    12,295.68/18,443.28 = 7,366.68/x
  3. Step 3: Cross multiply
    12,295.68x = 18,443.28 × 7,366.68
  4. Step 4: Simplify right side
    12,295.68x = 135,865,741.91
  5. Step 5: Solve for x
    x = 135,865,741.91/12,295.68
  6. Step 6: Final answer
    x = 11,049.88

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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.