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Finding the Fourth Proportional to 26,922.86, 40,390.80 and 8,454.86

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Solution

The fourth proportional to 26,922.86, 40,390.80 and 8,454.86 is: 12,684.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,922.86 : 40,390.80 = 8,454.86 : x
  2. Step 2: Convert to fraction form
    26,922.86/40,390.80 = 8,454.86/x
  3. Step 3: Cross multiply
    26,922.86x = 40,390.80 × 8,454.86
  4. Step 4: Simplify right side
    26,922.86x = 341,498,559.29
  5. Step 5: Solve for x
    x = 341,498,559.29/26,922.86
  6. Step 6: Final answer
    x = 12,684.33

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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.