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Finding the Fourth Proportional to 18,583.18, 27,882.06 and 8,187.64

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Solution

The fourth proportional to 18,583.18, 27,882.06 and 8,187.64 is: 12,284.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,583.18 : 27,882.06 = 8,187.64 : x
  2. Step 2: Convert to fraction form
    18,583.18/27,882.06 = 8,187.64/x
  3. Step 3: Cross multiply
    18,583.18x = 27,882.06 × 8,187.64
  4. Step 4: Simplify right side
    18,583.18x = 228,288,269.74
  5. Step 5: Solve for x
    x = 228,288,269.74/18,583.18
  6. Step 6: Final answer
    x = 12,284.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.