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Finding the Fourth Proportional to 14,415.75, 19,893.74 and 7,791.75

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Solution

The fourth proportional to 14,415.75, 19,893.74 and 7,791.75 is: 10,752.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,415.75 : 19,893.74 = 7,791.75 : x
  2. Step 2: Convert to fraction form
    14,415.75/19,893.74 = 7,791.75/x
  3. Step 3: Cross multiply
    14,415.75x = 19,893.74 × 7,791.75
  4. Step 4: Simplify right side
    14,415.75x = 155,007,048.65
  5. Step 5: Solve for x
    x = 155,007,048.65/14,415.75
  6. Step 6: Final answer
    x = 10,752.62

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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.