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Finding the Fourth Proportional to 22,409.48, 30,922.26 and 12,977.96

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Solution

The fourth proportional to 22,409.48, 30,922.26 and 12,977.96 is: 17,907.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,409.48 : 30,922.26 = 12,977.96 : x
  2. Step 2: Convert to fraction form
    22,409.48/30,922.26 = 12,977.96/x
  3. Step 3: Cross multiply
    22,409.48x = 30,922.26 × 12,977.96
  4. Step 4: Simplify right side
    22,409.48x = 401,307,853.39
  5. Step 5: Solve for x
    x = 401,307,853.39/22,409.48
  6. Step 6: Final answer
    x = 17,907.95

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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.