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Finding the Fourth Proportional to 1,993.25, 2,987.24 and 1,006.07

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Solution

The fourth proportional to 1,993.25, 2,987.24 and 1,006.07 is: 1,507.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.25 : 2,987.24 = 1,006.07 : x
  2. Step 2: Convert to fraction form
    1,993.25/2,987.24 = 1,006.07/x
  3. Step 3: Cross multiply
    1,993.25x = 2,987.24 × 1,006.07
  4. Step 4: Simplify right side
    1,993.25x = 3,005,352.58
  5. Step 5: Solve for x
    x = 3,005,352.58/1,993.25
  6. Step 6: Final answer
    x = 1,507.77

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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.