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Finding the Fourth Proportional to 18,947.20, 28,396.80 and 7,244.80

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Solution

The fourth proportional to 18,947.20, 28,396.80 and 7,244.80 is: 10,858.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,947.20 : 28,396.80 = 7,244.80 : x
  2. Step 2: Convert to fraction form
    18,947.20/28,396.80 = 7,244.80/x
  3. Step 3: Cross multiply
    18,947.20x = 28,396.80 × 7,244.80
  4. Step 4: Simplify right side
    18,947.20x = 205,729,136.64
  5. Step 5: Solve for x
    x = 205,729,136.64/18,947.20
  6. Step 6: Final answer
    x = 10,858.02

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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.