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Finding the Fourth Proportional to 2,083.20, 3,121.20 and 987.36

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Solution

The fourth proportional to 2,083.20, 3,121.20 and 987.36 is: 1,479.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.20 : 3,121.20 = 987.36 : x
  2. Step 2: Convert to fraction form
    2,083.20/3,121.20 = 987.36/x
  3. Step 3: Cross multiply
    2,083.20x = 3,121.20 × 987.36
  4. Step 4: Simplify right side
    2,083.20x = 3,081,748.03
  5. Step 5: Solve for x
    x = 3,081,748.03/2,083.20
  6. Step 6: Final answer
    x = 1,479.33

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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.