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Finding the Fourth Proportional to 1,993.77, 2,987.91 and 1,447.02

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Solution

The fourth proportional to 1,993.77, 2,987.91 and 1,447.02 is: 2,168.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.77 : 2,987.91 = 1,447.02 : x
  2. Step 2: Convert to fraction form
    1,993.77/2,987.91 = 1,447.02/x
  3. Step 3: Cross multiply
    1,993.77x = 2,987.91 × 1,447.02
  4. Step 4: Simplify right side
    1,993.77x = 4,323,565.53
  5. Step 5: Solve for x
    x = 4,323,565.53/1,993.77
  6. Step 6: Final answer
    x = 2,168.54

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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.