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Finding the Fourth Proportional to 9,458.64, 13,028.31 and 7,198.74

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Solution

The fourth proportional to 9,458.64, 13,028.31 and 7,198.74 is: 9,915.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458.64 : 13,028.31 = 7,198.74 : x
  2. Step 2: Convert to fraction form
    9,458.64/13,028.31 = 7,198.74/x
  3. Step 3: Cross multiply
    9,458.64x = 13,028.31 × 7,198.74
  4. Step 4: Simplify right side
    9,458.64x = 93,787,416.33
  5. Step 5: Solve for x
    x = 93,787,416.33/9,458.64
  6. Step 6: Final answer
    x = 9,915.53

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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.