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Finding the Fourth Proportional to 26,800, 40,202.88 and 12,015.52

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Solution

The fourth proportional to 26,800, 40,202.88 and 12,015.52 is: 18,024.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,800 : 40,202.88 = 12,015.52 : x
  2. Step 2: Convert to fraction form
    26,800/40,202.88 = 12,015.52/x
  3. Step 3: Cross multiply
    26,800x = 40,202.88 × 12,015.52
  4. Step 4: Simplify right side
    26,800x = 483,058,508.70
  5. Step 5: Solve for x
    x = 483,058,508.70/26,800
  6. Step 6: Final answer
    x = 18,024.57

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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.