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Finding the Fourth Proportional to 28,940.50, 43,410.75 and 8,164

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Solution

The fourth proportional to 28,940.50, 43,410.75 and 8,164 is: 12,246

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,940.50 : 43,410.75 = 8,164 : x
  2. Step 2: Convert to fraction form
    28,940.50/43,410.75 = 8,164/x
  3. Step 3: Cross multiply
    28,940.50x = 43,410.75 × 8,164
  4. Step 4: Simplify right side
    28,940.50x = 354,405,363
  5. Step 5: Solve for x
    x = 354,405,363/28,940.50
  6. Step 6: Final answer
    x = 12,246

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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.