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Finding the Fourth Proportional to 1,993.67, 2,987.76 and 1,017.74

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Solution

The fourth proportional to 1,993.67, 2,987.76 and 1,017.74 is: 1,525.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.67 : 2,987.76 = 1,017.74 : x
  2. Step 2: Convert to fraction form
    1,993.67/2,987.76 = 1,017.74/x
  3. Step 3: Cross multiply
    1,993.67x = 2,987.76 × 1,017.74
  4. Step 4: Simplify right side
    1,993.67x = 3,040,747.92
  5. Step 5: Solve for x
    x = 3,040,747.92/1,993.67
  6. Step 6: Final answer
    x = 1,525.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.