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Finding the Fourth Proportional to 2,214, 3,312.64 and 1,321.22

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Solution

The fourth proportional to 2,214, 3,312.64 and 1,321.22 is: 1,976.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214 : 3,312.64 = 1,321.22 : x
  2. Step 2: Convert to fraction form
    2,214/3,312.64 = 1,321.22/x
  3. Step 3: Cross multiply
    2,214x = 3,312.64 × 1,321.22
  4. Step 4: Simplify right side
    2,214x = 4,376,726.22
  5. Step 5: Solve for x
    x = 4,376,726.22/2,214
  6. Step 6: Final answer
    x = 1,976.84

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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.