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Finding the Fourth Proportional to 3,562.94, 4,917.04 and 1,991

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Solution

The fourth proportional to 3,562.94, 4,917.04 and 1,991 is: 2,747.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.94 : 4,917.04 = 1,991 : x
  2. Step 2: Convert to fraction form
    3,562.94/4,917.04 = 1,991/x
  3. Step 3: Cross multiply
    3,562.94x = 4,917.04 × 1,991
  4. Step 4: Simplify right side
    3,562.94x = 9,789,826.64
  5. Step 5: Solve for x
    x = 9,789,826.64/3,562.94
  6. Step 6: Final answer
    x = 2,747.68

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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.