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Finding the Fourth Proportional to 13,825.60, 19,079.82 and 7,857.07

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Solution

The fourth proportional to 13,825.60, 19,079.82 and 7,857.07 is: 10,843.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,825.60 : 19,079.82 = 7,857.07 : x
  2. Step 2: Convert to fraction form
    13,825.60/19,079.82 = 7,857.07/x
  3. Step 3: Cross multiply
    13,825.60x = 19,079.82 × 7,857.07
  4. Step 4: Simplify right side
    13,825.60x = 149,911,481.33
  5. Step 5: Solve for x
    x = 149,911,481.33/13,825.60
  6. Step 6: Final answer
    x = 10,843.04

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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.