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Finding the Fourth Proportional to 27,559, 41,338.50 and 6,782.50

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Solution

The fourth proportional to 27,559, 41,338.50 and 6,782.50 is: 10,173.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,559 : 41,338.50 = 6,782.50 : x
  2. Step 2: Convert to fraction form
    27,559/41,338.50 = 6,782.50/x
  3. Step 3: Cross multiply
    27,559x = 41,338.50 × 6,782.50
  4. Step 4: Simplify right side
    27,559x = 280,378,376.25
  5. Step 5: Solve for x
    x = 280,378,376.25/27,559
  6. Step 6: Final answer
    x = 10,173.75

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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.