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Finding the Fourth Proportional to 11,920.96, 16,448.26 and 7,204.36

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Solution

The fourth proportional to 11,920.96, 16,448.26 and 7,204.36 is: 9,940.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920.96 : 16,448.26 = 7,204.36 : x
  2. Step 2: Convert to fraction form
    11,920.96/16,448.26 = 7,204.36/x
  3. Step 3: Cross multiply
    11,920.96x = 16,448.26 × 7,204.36
  4. Step 4: Simplify right side
    11,920.96x = 118,499,186.41
  5. Step 5: Solve for x
    x = 118,499,186.41/11,920.96
  6. Step 6: Final answer
    x = 9,940.41

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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.