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Finding the Fourth Proportional to 26,800, 40,199.73 and 11,013.64

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Solution

The fourth proportional to 26,800, 40,199.73 and 11,013.64 is: 16,520.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,800 : 40,199.73 = 11,013.64 : x
  2. Step 2: Convert to fraction form
    26,800/40,199.73 = 11,013.64/x
  3. Step 3: Cross multiply
    26,800x = 40,199.73 × 11,013.64
  4. Step 4: Simplify right side
    26,800x = 442,745,354.32
  5. Step 5: Solve for x
    x = 442,745,354.32/26,800
  6. Step 6: Final answer
    x = 16,520.35

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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.