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Finding the Fourth Proportional to 2,212.21, 3,317.80 and 978.95

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Solution

The fourth proportional to 2,212.21, 3,317.80 and 978.95 is: 1,468.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.21 : 3,317.80 = 978.95 : x
  2. Step 2: Convert to fraction form
    2,212.21/3,317.80 = 978.95/x
  3. Step 3: Cross multiply
    2,212.21x = 3,317.80 × 978.95
  4. Step 4: Simplify right side
    2,212.21x = 3,247,960.31
  5. Step 5: Solve for x
    x = 3,247,960.31/2,212.21
  6. Step 6: Final answer
    x = 1,468.20

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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.