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Finding the Fourth Proportional to 16,105.50, 22,228.02 and 9,821.52

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Solution

The fourth proportional to 16,105.50, 22,228.02 and 9,821.52 is: 13,555.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,105.50 : 22,228.02 = 9,821.52 : x
  2. Step 2: Convert to fraction form
    16,105.50/22,228.02 = 9,821.52/x
  3. Step 3: Cross multiply
    16,105.50x = 22,228.02 × 9,821.52
  4. Step 4: Simplify right side
    16,105.50x = 218,312,942.99
  5. Step 5: Solve for x
    x = 218,312,942.99/16,105.50
  6. Step 6: Final answer
    x = 13,555.18

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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.