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Finding the Fourth Proportional to 1,993.09, 2,987.98 and 952.57

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Solution

The fourth proportional to 1,993.09, 2,987.98 and 952.57 is: 1,428.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.09 : 2,987.98 = 952.57 : x
  2. Step 2: Convert to fraction form
    1,993.09/2,987.98 = 952.57/x
  3. Step 3: Cross multiply
    1,993.09x = 2,987.98 × 952.57
  4. Step 4: Simplify right side
    1,993.09x = 2,846,260.11
  5. Step 5: Solve for x
    x = 2,846,260.11/1,993.09
  6. Step 6: Final answer
    x = 1,428.06

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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.