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Finding the Fourth Proportional to 1,980, 2,968.92 and 883.26

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Solution

The fourth proportional to 1,980, 2,968.92 and 883.26 is: 1,324.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980 : 2,968.92 = 883.26 : x
  2. Step 2: Convert to fraction form
    1,980/2,968.92 = 883.26/x
  3. Step 3: Cross multiply
    1,980x = 2,968.92 × 883.26
  4. Step 4: Simplify right side
    1,980x = 2,622,328.28
  5. Step 5: Solve for x
    x = 2,622,328.28/1,980
  6. Step 6: Final answer
    x = 1,324.41

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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.