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Finding the Fourth Proportional to 12,021.22, 16,590.93 and 6,716.32

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Solution

The fourth proportional to 12,021.22, 16,590.93 and 6,716.32 is: 9,269.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,021.22 : 16,590.93 = 6,716.32 : x
  2. Step 2: Convert to fraction form
    12,021.22/16,590.93 = 6,716.32/x
  3. Step 3: Cross multiply
    12,021.22x = 16,590.93 × 6,716.32
  4. Step 4: Simplify right side
    12,021.22x = 111,429,994.98
  5. Step 5: Solve for x
    x = 111,429,994.98/12,021.22
  6. Step 6: Final answer
    x = 9,269.44

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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.