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Finding the Fourth Proportional to 2,276.75, 3,416.55 and 978.22

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Solution

The fourth proportional to 2,276.75, 3,416.55 and 978.22 is: 1,467.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.75 : 3,416.55 = 978.22 : x
  2. Step 2: Convert to fraction form
    2,276.75/3,416.55 = 978.22/x
  3. Step 3: Cross multiply
    2,276.75x = 3,416.55 × 978.22
  4. Step 4: Simplify right side
    2,276.75x = 3,342,120.46
  5. Step 5: Solve for x
    x = 3,342,120.46/2,276.75
  6. Step 6: Final answer
    x = 1,467.93

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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.