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Finding the Fourth Proportional to 27,986.86, 41,980.32 and 8,263.90

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Solution

The fourth proportional to 27,986.86, 41,980.32 and 8,263.90 is: 12,395.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,986.86 : 41,980.32 = 8,263.90 : x
  2. Step 2: Convert to fraction form
    27,986.86/41,980.32 = 8,263.90/x
  3. Step 3: Cross multiply
    27,986.86x = 41,980.32 × 8,263.90
  4. Step 4: Simplify right side
    27,986.86x = 346,921,166.45
  5. Step 5: Solve for x
    x = 346,921,166.45/27,986.86
  6. Step 6: Final answer
    x = 12,395.86

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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.