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Finding the Fourth Proportional to 9,202.12, 12,696.74 and 5,222.36

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Solution

The fourth proportional to 9,202.12, 12,696.74 and 5,222.36 is: 7,205.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.12 : 12,696.74 = 5,222.36 : x
  2. Step 2: Convert to fraction form
    9,202.12/12,696.74 = 5,222.36/x
  3. Step 3: Cross multiply
    9,202.12x = 12,696.74 × 5,222.36
  4. Step 4: Simplify right side
    9,202.12x = 66,306,947.11
  5. Step 5: Solve for x
    x = 66,306,947.11/9,202.12
  6. Step 6: Final answer
    x = 7,205.62

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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.