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Finding the Fourth Proportional to 27,379, 41,068.50 and 8,911

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Solution

The fourth proportional to 27,379, 41,068.50 and 8,911 is: 13,366.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,379 : 41,068.50 = 8,911 : x
  2. Step 2: Convert to fraction form
    27,379/41,068.50 = 8,911/x
  3. Step 3: Cross multiply
    27,379x = 41,068.50 × 8,911
  4. Step 4: Simplify right side
    27,379x = 365,961,403.50
  5. Step 5: Solve for x
    x = 365,961,403.50/27,379
  6. Step 6: Final answer
    x = 13,366.50

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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.