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Finding the Fourth Proportional to 12,701.87, 19,047.29 and 6,777.43

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Solution

The fourth proportional to 12,701.87, 19,047.29 and 6,777.43 is: 10,163.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,701.87 : 19,047.29 = 6,777.43 : x
  2. Step 2: Convert to fraction form
    12,701.87/19,047.29 = 6,777.43/x
  3. Step 3: Cross multiply
    12,701.87x = 19,047.29 × 6,777.43
  4. Step 4: Simplify right side
    12,701.87x = 129,091,640.78
  5. Step 5: Solve for x
    x = 129,091,640.78/12,701.87
  6. Step 6: Final answer
    x = 10,163.20

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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.