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Finding the Fourth Proportional to 2,621.70, 3,932.55 and 978.16

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Solution

The fourth proportional to 2,621.70, 3,932.55 and 978.16 is: 1,467.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621.70 : 3,932.55 = 978.16 : x
  2. Step 2: Convert to fraction form
    2,621.70/3,932.55 = 978.16/x
  3. Step 3: Cross multiply
    2,621.70x = 3,932.55 × 978.16
  4. Step 4: Simplify right side
    2,621.70x = 3,846,660.65
  5. Step 5: Solve for x
    x = 3,846,660.65/2,621.70
  6. Step 6: Final answer
    x = 1,467.24

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Similar ratio
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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.