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Finding the Fourth Proportional to 12,257.56, 18,371.76 and 7,052.68

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Solution

The fourth proportional to 12,257.56, 18,371.76 and 7,052.68 is: 10,570.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,257.56 : 18,371.76 = 7,052.68 : x
  2. Step 2: Convert to fraction form
    12,257.56/18,371.76 = 7,052.68/x
  3. Step 3: Cross multiply
    12,257.56x = 18,371.76 × 7,052.68
  4. Step 4: Simplify right side
    12,257.56x = 129,570,144.32
  5. Step 5: Solve for x
    x = 129,570,144.32/12,257.56
  6. Step 6: Final answer
    x = 10,570.63

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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.