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Finding the Fourth Proportional to 28,377, 42,559 and 8,382.20

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Solution

The fourth proportional to 28,377, 42,559 and 8,382.20 is: 12,571.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,377 : 42,559 = 8,382.20 : x
  2. Step 2: Convert to fraction form
    28,377/42,559 = 8,382.20/x
  3. Step 3: Cross multiply
    28,377x = 42,559 × 8,382.20
  4. Step 4: Simplify right side
    28,377x = 356,738,049.80
  5. Step 5: Solve for x
    x = 356,738,049.80/28,377
  6. Step 6: Final answer
    x = 12,571.38

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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.