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Finding the Fourth Proportional to 28,614.75, 39,492 and 16,039.50

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Solution

The fourth proportional to 28,614.75, 39,492 and 16,039.50 is: 22,136.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,614.75 : 39,492 = 16,039.50 : x
  2. Step 2: Convert to fraction form
    28,614.75/39,492 = 16,039.50/x
  3. Step 3: Cross multiply
    28,614.75x = 39,492 × 16,039.50
  4. Step 4: Simplify right side
    28,614.75x = 633,431,934
  5. Step 5: Solve for x
    x = 633,431,934/28,614.75
  6. Step 6: Final answer
    x = 22,136.55

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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.