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Finding the Fourth Proportional to 2,621.52, 3,934 and 978.08

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Solution

The fourth proportional to 2,621.52, 3,934 and 978.08 is: 1,467.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621.52 : 3,934 = 978.08 : x
  2. Step 2: Convert to fraction form
    2,621.52/3,934 = 978.08/x
  3. Step 3: Cross multiply
    2,621.52x = 3,934 × 978.08
  4. Step 4: Simplify right side
    2,621.52x = 3,847,766.72
  5. Step 5: Solve for x
    x = 3,847,766.72/2,621.52
  6. Step 6: Final answer
    x = 1,467.76

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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.