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Finding the Fourth Proportional to 28,675, 43,012.50 and 7,898.50

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Solution

The fourth proportional to 28,675, 43,012.50 and 7,898.50 is: 11,847.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,675 : 43,012.50 = 7,898.50 : x
  2. Step 2: Convert to fraction form
    28,675/43,012.50 = 7,898.50/x
  3. Step 3: Cross multiply
    28,675x = 43,012.50 × 7,898.50
  4. Step 4: Simplify right side
    28,675x = 339,734,231.25
  5. Step 5: Solve for x
    x = 339,734,231.25/28,675
  6. Step 6: Final answer
    x = 11,847.75

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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.