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Finding the Fourth Proportional to 9,212.63, 13,821.62 and 2,972.48

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Solution

The fourth proportional to 9,212.63, 13,821.62 and 2,972.48 is: 4,459.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.63 : 13,821.62 = 2,972.48 : x
  2. Step 2: Convert to fraction form
    9,212.63/13,821.62 = 2,972.48/x
  3. Step 3: Cross multiply
    9,212.63x = 13,821.62 × 2,972.48
  4. Step 4: Simplify right side
    9,212.63x = 41,084,405.05
  5. Step 5: Solve for x
    x = 41,084,405.05/9,212.63
  6. Step 6: Final answer
    x = 4,459.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.