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Finding the Fourth Proportional to 22,809.75, 31,477.46 and 12,873.75

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Solution

The fourth proportional to 22,809.75, 31,477.46 and 12,873.75 is: 17,765.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,809.75 : 31,477.46 = 12,873.75 : x
  2. Step 2: Convert to fraction form
    22,809.75/31,477.46 = 12,873.75/x
  3. Step 3: Cross multiply
    22,809.75x = 31,477.46 × 12,873.75
  4. Step 4: Simplify right side
    22,809.75x = 405,232,950.68
  5. Step 5: Solve for x
    x = 405,232,950.68/22,809.75
  6. Step 6: Final answer
    x = 17,765.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.