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Finding the Fourth Proportional to 14,972.69, 20,662.40 and 8,258.49

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Solution

The fourth proportional to 14,972.69, 20,662.40 and 8,258.49 is: 11,396.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,972.69 : 20,662.40 = 8,258.49 : x
  2. Step 2: Convert to fraction form
    14,972.69/20,662.40 = 8,258.49/x
  3. Step 3: Cross multiply
    14,972.69x = 20,662.40 × 8,258.49
  4. Step 4: Simplify right side
    14,972.69x = 170,640,296.08
  5. Step 5: Solve for x
    x = 170,640,296.08/14,972.69
  6. Step 6: Final answer
    x = 11,396.77

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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.