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Finding the Fourth Proportional to 3,846.15, 5,769.90 and 1,382.40

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Solution

The fourth proportional to 3,846.15, 5,769.90 and 1,382.40 is: 2,073.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.15 : 5,769.90 = 1,382.40 : x
  2. Step 2: Convert to fraction form
    3,846.15/5,769.90 = 1,382.40/x
  3. Step 3: Cross multiply
    3,846.15x = 5,769.90 × 1,382.40
  4. Step 4: Simplify right side
    3,846.15x = 7,976,309.76
  5. Step 5: Solve for x
    x = 7,976,309.76/3,846.15
  6. Step 6: Final answer
    x = 2,073.84

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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.