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Finding the Fourth Proportional to 2,213.96, 3,316.62 and 978.44

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Solution

The fourth proportional to 2,213.96, 3,316.62 and 978.44 is: 1,465.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.96 : 3,316.62 = 978.44 : x
  2. Step 2: Convert to fraction form
    2,213.96/3,316.62 = 978.44/x
  3. Step 3: Cross multiply
    2,213.96x = 3,316.62 × 978.44
  4. Step 4: Simplify right side
    2,213.96x = 3,245,113.67
  5. Step 5: Solve for x
    x = 3,245,113.67/2,213.96
  6. Step 6: Final answer
    x = 1,465.75

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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.