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Finding the Fourth Proportional to 8,802.14, 13,204.49 and 2,561.33

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Solution

The fourth proportional to 8,802.14, 13,204.49 and 2,561.33 is: 3,842.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,802.14 : 13,204.49 = 2,561.33 : x
  2. Step 2: Convert to fraction form
    8,802.14/13,204.49 = 2,561.33/x
  3. Step 3: Cross multiply
    8,802.14x = 13,204.49 × 2,561.33
  4. Step 4: Simplify right side
    8,802.14x = 33,821,076.58
  5. Step 5: Solve for x
    x = 33,821,076.58/8,802.14
  6. Step 6: Final answer
    x = 3,842.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.