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Finding the Fourth Proportional to 14,972.16, 20,661.32 and 8,258.42

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Solution

The fourth proportional to 14,972.16, 20,661.32 and 8,258.42 is: 11,396.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,972.16 : 20,661.32 = 8,258.42 : x
  2. Step 2: Convert to fraction form
    14,972.16/20,661.32 = 8,258.42/x
  3. Step 3: Cross multiply
    14,972.16x = 20,661.32 × 8,258.42
  4. Step 4: Simplify right side
    14,972.16x = 170,629,858.31
  5. Step 5: Solve for x
    x = 170,629,858.31/14,972.16
  6. Step 6: Final answer
    x = 11,396.48

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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.