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Finding the Fourth Proportional to 28,922.74, 43,385.63 and 8,147.86

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Solution

The fourth proportional to 28,922.74, 43,385.63 and 8,147.86 is: 12,222.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,922.74 : 43,385.63 = 8,147.86 : x
  2. Step 2: Convert to fraction form
    28,922.74/43,385.63 = 8,147.86/x
  3. Step 3: Cross multiply
    28,922.74x = 43,385.63 × 8,147.86
  4. Step 4: Simplify right side
    28,922.74x = 353,500,039.25
  5. Step 5: Solve for x
    x = 353,500,039.25/28,922.74
  6. Step 6: Final answer
    x = 12,222.22

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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.