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Finding the Fourth Proportional to 12,808.56, 17,675.56 and 7,143.16

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Solution

The fourth proportional to 12,808.56, 17,675.56 and 7,143.16 is: 9,857.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,808.56 : 17,675.56 = 7,143.16 : x
  2. Step 2: Convert to fraction form
    12,808.56/17,675.56 = 7,143.16/x
  3. Step 3: Cross multiply
    12,808.56x = 17,675.56 × 7,143.16
  4. Step 4: Simplify right side
    12,808.56x = 126,259,353.17
  5. Step 5: Solve for x
    x = 126,259,353.17/12,808.56
  6. Step 6: Final answer
    x = 9,857.42

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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.