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Finding the Fourth Proportional to 3,642.75, 5,027.00 and 1,986.75

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Solution

The fourth proportional to 3,642.75, 5,027.00 and 1,986.75 is: 2,741.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.75 : 5,027.00 = 1,986.75 : x
  2. Step 2: Convert to fraction form
    3,642.75/5,027.00 = 1,986.75/x
  3. Step 3: Cross multiply
    3,642.75x = 5,027.00 × 1,986.75
  4. Step 4: Simplify right side
    3,642.75x = 9,987,382.32
  5. Step 5: Solve for x
    x = 9,987,382.32/3,642.75
  6. Step 6: Final answer
    x = 2,741.72

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1.5x scale

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.