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Finding the Fourth Proportional to 11,879.64, 17,821.26 and 8,617.35

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Solution

The fourth proportional to 11,879.64, 17,821.26 and 8,617.35 is: 12,927.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,879.64 : 17,821.26 = 8,617.35 : x
  2. Step 2: Convert to fraction form
    11,879.64/17,821.26 = 8,617.35/x
  3. Step 3: Cross multiply
    11,879.64x = 17,821.26 × 8,617.35
  4. Step 4: Simplify right side
    11,879.64x = 153,572,034.86
  5. Step 5: Solve for x
    x = 153,572,034.86/11,879.64
  6. Step 6: Final answer
    x = 12,927.33

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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.