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Finding the Fourth Proportional to 27,958, 41,937 and 7,181.50

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Solution

The fourth proportional to 27,958, 41,937 and 7,181.50 is: 10,772.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,958 : 41,937 = 7,181.50 : x
  2. Step 2: Convert to fraction form
    27,958/41,937 = 7,181.50/x
  3. Step 3: Cross multiply
    27,958x = 41,937 × 7,181.50
  4. Step 4: Simplify right side
    27,958x = 301,170,565.50
  5. Step 5: Solve for x
    x = 301,170,565.50/27,958
  6. Step 6: Final answer
    x = 10,772.25

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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.