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Finding the Fourth Proportional to 28,675, 39,571.50 and 16,099.75

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Solution

The fourth proportional to 28,675, 39,571.50 and 16,099.75 is: 22,217.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,675 : 39,571.50 = 16,099.75 : x
  2. Step 2: Convert to fraction form
    28,675/39,571.50 = 16,099.75/x
  3. Step 3: Cross multiply
    28,675x = 39,571.50 × 16,099.75
  4. Step 4: Simplify right side
    28,675x = 637,091,257.13
  5. Step 5: Solve for x
    x = 637,091,257.13/28,675
  6. Step 6: Final answer
    x = 22,217.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.