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Finding the Fourth Proportional to 13,821.57, 19,074.21 and 7,852.88

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Solution

The fourth proportional to 13,821.57, 19,074.21 and 7,852.88 is: 10,837.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821.57 : 19,074.21 = 7,852.88 : x
  2. Step 2: Convert to fraction form
    13,821.57/19,074.21 = 7,852.88/x
  3. Step 3: Cross multiply
    13,821.57x = 19,074.21 × 7,852.88
  4. Step 4: Simplify right side
    13,821.57x = 149,787,482.22
  5. Step 5: Solve for x
    x = 149,787,482.22/13,821.57
  6. Step 6: Final answer
    x = 10,837.23

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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.