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Finding the Fourth Proportional to 11,879.87, 17,822.43 and 9,774.68

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Solution

The fourth proportional to 11,879.87, 17,822.43 and 9,774.68 is: 14,664.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,879.87 : 17,822.43 = 9,774.68 : x
  2. Step 2: Convert to fraction form
    11,879.87/17,822.43 = 9,774.68/x
  3. Step 3: Cross multiply
    11,879.87x = 17,822.43 × 9,774.68
  4. Step 4: Simplify right side
    11,879.87x = 174,208,460.96
  5. Step 5: Solve for x
    x = 174,208,460.96/11,879.87
  6. Step 6: Final answer
    x = 14,664.18

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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.