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Finding the Fourth Proportional to 2,212.70, 3,316.35 and 978.80

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Solution

The fourth proportional to 2,212.70, 3,316.35 and 978.80 is: 1,467.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.70 : 3,316.35 = 978.80 : x
  2. Step 2: Convert to fraction form
    2,212.70/3,316.35 = 978.80/x
  3. Step 3: Cross multiply
    2,212.70x = 3,316.35 × 978.80
  4. Step 4: Simplify right side
    2,212.70x = 3,246,043.38
  5. Step 5: Solve for x
    x = 3,246,043.38/2,212.70
  6. Step 6: Final answer
    x = 1,467.01

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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.