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Finding the Fourth Proportional to 14,654.53, 20,223.21 and 7,940.33

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Solution

The fourth proportional to 14,654.53, 20,223.21 and 7,940.33 is: 10,957.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,654.53 : 20,223.21 = 7,940.33 : x
  2. Step 2: Convert to fraction form
    14,654.53/20,223.21 = 7,940.33/x
  3. Step 3: Cross multiply
    14,654.53x = 20,223.21 × 7,940.33
  4. Step 4: Simplify right side
    14,654.53x = 160,578,961.06
  5. Step 5: Solve for x
    x = 160,578,961.06/14,654.53
  6. Step 6: Final answer
    x = 10,957.64

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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.