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Finding the Fourth Proportional to 2,276.70, 3,416.26 and 978.27

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Solution

The fourth proportional to 2,276.70, 3,416.26 and 978.27 is: 1,467.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.70 : 3,416.26 = 978.27 : x
  2. Step 2: Convert to fraction form
    2,276.70/3,416.26 = 978.27/x
  3. Step 3: Cross multiply
    2,276.70x = 3,416.26 × 978.27
  4. Step 4: Simplify right side
    2,276.70x = 3,342,024.67
  5. Step 5: Solve for x
    x = 3,342,024.67/2,276.70
  6. Step 6: Final answer
    x = 1,467.92

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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.