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Finding the Fourth Proportional to 12,857.06, 17,745.18 and 7,268.06

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Solution

The fourth proportional to 12,857.06, 17,745.18 and 7,268.06 is: 10,031.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.06 : 17,745.18 = 7,268.06 : x
  2. Step 2: Convert to fraction form
    12,857.06/17,745.18 = 7,268.06/x
  3. Step 3: Cross multiply
    12,857.06x = 17,745.18 × 7,268.06
  4. Step 4: Simplify right side
    12,857.06x = 128,973,050.06
  5. Step 5: Solve for x
    x = 128,973,050.06/12,857.06
  6. Step 6: Final answer
    x = 10,031.30

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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.