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Finding the Fourth Proportional to 20,622, 28,465.74 and 12,238.50

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Solution

The fourth proportional to 20,622, 28,465.74 and 12,238.50 is: 16,893.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,622 : 28,465.74 = 12,238.50 : x
  2. Step 2: Convert to fraction form
    20,622/28,465.74 = 12,238.50/x
  3. Step 3: Cross multiply
    20,622x = 28,465.74 × 12,238.50
  4. Step 4: Simplify right side
    20,622x = 348,377,958.99
  5. Step 5: Solve for x
    x = 348,377,958.99/20,622
  6. Step 6: Final answer
    x = 16,893.51

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Why These Related Problems?

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