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Finding the Fourth Proportional to 10,001.25, 13,804.41 and 5,752.80

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Solution

The fourth proportional to 10,001.25, 13,804.41 and 5,752.80 is: 7,940.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,001.25 : 13,804.41 = 5,752.80 : x
  2. Step 2: Convert to fraction form
    10,001.25/13,804.41 = 5,752.80/x
  3. Step 3: Cross multiply
    10,001.25x = 13,804.41 × 5,752.80
  4. Step 4: Simplify right side
    10,001.25x = 79,414,009.85
  5. Step 5: Solve for x
    x = 79,414,009.85/10,001.25
  6. Step 6: Final answer
    x = 7,940.41

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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.