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Finding the Fourth Proportional to 1,321.95, 1,822.75 and 1,072.49

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Solution

The fourth proportional to 1,321.95, 1,822.75 and 1,072.49 is: 1,478.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.95 : 1,822.75 = 1,072.49 : x
  2. Step 2: Convert to fraction form
    1,321.95/1,822.75 = 1,072.49/x
  3. Step 3: Cross multiply
    1,321.95x = 1,822.75 × 1,072.49
  4. Step 4: Simplify right side
    1,321.95x = 1,954,881.15
  5. Step 5: Solve for x
    x = 1,954,881.15/1,321.95
  6. Step 6: Final answer
    x = 1,478.79

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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.