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Finding the Fourth Proportional to 12,212.86, 16,853.47 and 6,907.67

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Solution

The fourth proportional to 12,212.86, 16,853.47 and 6,907.67 is: 9,532.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,212.86 : 16,853.47 = 6,907.67 : x
  2. Step 2: Convert to fraction form
    12,212.86/16,853.47 = 6,907.67/x
  3. Step 3: Cross multiply
    12,212.86x = 16,853.47 × 6,907.67
  4. Step 4: Simplify right side
    12,212.86x = 116,418,090.31
  5. Step 5: Solve for x
    x = 116,418,090.31/12,212.86
  6. Step 6: Final answer
    x = 9,532.42

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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.