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Finding the Fourth Proportional to 2,786.63, 3,846.54 and 1,901.80

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Solution

The fourth proportional to 2,786.63, 3,846.54 and 1,901.80 is: 2,625.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.63 : 3,846.54 = 1,901.80 : x
  2. Step 2: Convert to fraction form
    2,786.63/3,846.54 = 1,901.80/x
  3. Step 3: Cross multiply
    2,786.63x = 3,846.54 × 1,901.80
  4. Step 4: Simplify right side
    2,786.63x = 7,315,349.77
  5. Step 5: Solve for x
    x = 7,315,349.77/2,786.63
  6. Step 6: Final answer
    x = 2,625.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.