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Finding the Fourth Proportional to 18,676.40, 28,022.10 and 7,583.95

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Solution

The fourth proportional to 18,676.40, 28,022.10 and 7,583.95 is: 11,378.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,676.40 : 28,022.10 = 7,583.95 : x
  2. Step 2: Convert to fraction form
    18,676.40/28,022.10 = 7,583.95/x
  3. Step 3: Cross multiply
    18,676.40x = 28,022.10 × 7,583.95
  4. Step 4: Simplify right side
    18,676.40x = 212,518,205.30
  5. Step 5: Solve for x
    x = 212,518,205.30/18,676.40
  6. Step 6: Final answer
    x = 11,378.97

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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.