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Finding the Fourth Proportional to 9,694.43, 13,396.68 and 8,258.57

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Solution

The fourth proportional to 9,694.43, 13,396.68 and 8,258.57 is: 11,412.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.43 : 13,396.68 = 8,258.57 : x
  2. Step 2: Convert to fraction form
    9,694.43/13,396.68 = 8,258.57/x
  3. Step 3: Cross multiply
    9,694.43x = 13,396.68 × 8,258.57
  4. Step 4: Simplify right side
    9,694.43x = 110,637,419.55
  5. Step 5: Solve for x
    x = 110,637,419.55/9,694.43
  6. Step 6: Final answer
    x = 11,412.47

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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.