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Finding the Fourth Proportional to 12,711.50, 19,041.21 and 5,947.36

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Solution

The fourth proportional to 12,711.50, 19,041.21 and 5,947.36 is: 8,908.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711.50 : 19,041.21 = 5,947.36 : x
  2. Step 2: Convert to fraction form
    12,711.50/19,041.21 = 5,947.36/x
  3. Step 3: Cross multiply
    12,711.50x = 19,041.21 × 5,947.36
  4. Step 4: Simplify right side
    12,711.50x = 113,244,883.10
  5. Step 5: Solve for x
    x = 113,244,883.10/12,711.50
  6. Step 6: Final answer
    x = 8,908.85

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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.