Home / 1,982.58-2,971.44-1,058.37

Finding the Fourth Proportional to 1,982.58, 2,971.44 and 1,058.37

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Solution

The fourth proportional to 1,982.58, 2,971.44 and 1,058.37 is: 1,586.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.58 : 2,971.44 = 1,058.37 : x
  2. Step 2: Convert to fraction form
    1,982.58/2,971.44 = 1,058.37/x
  3. Step 3: Cross multiply
    1,982.58x = 2,971.44 × 1,058.37
  4. Step 4: Simplify right side
    1,982.58x = 3,144,882.95
  5. Step 5: Solve for x
    x = 3,144,882.95/1,982.58
  6. Step 6: Final answer
    x = 1,586.26

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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.