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Finding the Fourth Proportional to 18,782.46, 28,187.98 and 6,947.43

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Solution

The fourth proportional to 18,782.46, 28,187.98 and 6,947.43 is: 10,426.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,782.46 : 28,187.98 = 6,947.43 : x
  2. Step 2: Convert to fraction form
    18,782.46/28,187.98 = 6,947.43/x
  3. Step 3: Cross multiply
    18,782.46x = 28,187.98 × 6,947.43
  4. Step 4: Simplify right side
    18,782.46x = 195,833,983.15
  5. Step 5: Solve for x
    x = 195,833,983.15/18,782.46
  6. Step 6: Final answer
    x = 10,426.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.