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Finding the Fourth Proportional to 16,105.88, 22,228.54 and 9,821.90

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Solution

The fourth proportional to 16,105.88, 22,228.54 and 9,821.90 is: 13,555.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,105.88 : 22,228.54 = 9,821.90 : x
  2. Step 2: Convert to fraction form
    16,105.88/22,228.54 = 9,821.90/x
  3. Step 3: Cross multiply
    16,105.88x = 22,228.54 × 9,821.90
  4. Step 4: Simplify right side
    16,105.88x = 218,326,361.33
  5. Step 5: Solve for x
    x = 218,326,361.33/16,105.88
  6. Step 6: Final answer
    x = 13,555.70

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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.