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Finding the Fourth Proportional to 2,132.64, 3,198.78 and 978.39

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Solution

The fourth proportional to 2,132.64, 3,198.78 and 978.39 is: 1,467.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.64 : 3,198.78 = 978.39 : x
  2. Step 2: Convert to fraction form
    2,132.64/3,198.78 = 978.39/x
  3. Step 3: Cross multiply
    2,132.64x = 3,198.78 × 978.39
  4. Step 4: Simplify right side
    2,132.64x = 3,129,654.36
  5. Step 5: Solve for x
    x = 3,129,654.36/2,132.64
  6. Step 6: Final answer
    x = 1,467.50

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1.5x scale

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.