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Finding the Fourth Proportional to 16,206.70, 22,358.67 and 9,922.72

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Solution

The fourth proportional to 16,206.70, 22,358.67 and 9,922.72 is: 13,689.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206.70 : 22,358.67 = 9,922.72 : x
  2. Step 2: Convert to fraction form
    16,206.70/22,358.67 = 9,922.72/x
  3. Step 3: Cross multiply
    16,206.70x = 22,358.67 × 9,922.72
  4. Step 4: Simplify right side
    16,206.70x = 221,858,821.98
  5. Step 5: Solve for x
    x = 221,858,821.98/16,206.70
  6. Step 6: Final answer
    x = 13,689.33

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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.