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Finding the Fourth Proportional to 2,328, 3,212.64 and 1,396.80

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Solution

The fourth proportional to 2,328, 3,212.64 and 1,396.80 is: 1,927.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328 : 3,212.64 = 1,396.80 : x
  2. Step 2: Convert to fraction form
    2,328/3,212.64 = 1,396.80/x
  3. Step 3: Cross multiply
    2,328x = 3,212.64 × 1,396.80
  4. Step 4: Simplify right side
    2,328x = 4,487,415.55
  5. Step 5: Solve for x
    x = 4,487,415.55/2,328
  6. Step 6: Final answer
    x = 1,927.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.