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Finding the Fourth Proportional to 3,290.63, 4,936.14 and 1,901.07

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Solution

The fourth proportional to 3,290.63, 4,936.14 and 1,901.07 is: 2,851.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.63 : 4,936.14 = 1,901.07 : x
  2. Step 2: Convert to fraction form
    3,290.63/4,936.14 = 1,901.07/x
  3. Step 3: Cross multiply
    3,290.63x = 4,936.14 × 1,901.07
  4. Step 4: Simplify right side
    3,290.63x = 9,383,947.67
  5. Step 5: Solve for x
    x = 9,383,947.67/3,290.63
  6. Step 6: Final answer
    x = 2,851.72

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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.