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Finding the Fourth Proportional to 2,132.36, 3,198.54 and 978.12

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Solution

The fourth proportional to 2,132.36, 3,198.54 and 978.12 is: 1,467.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.36 : 3,198.54 = 978.12 : x
  2. Step 2: Convert to fraction form
    2,132.36/3,198.54 = 978.12/x
  3. Step 3: Cross multiply
    2,132.36x = 3,198.54 × 978.12
  4. Step 4: Simplify right side
    2,132.36x = 3,128,555.94
  5. Step 5: Solve for x
    x = 3,128,555.94/2,132.36
  6. Step 6: Final answer
    x = 1,467.18

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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.