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Finding the Fourth Proportional to 1,661.89, 2,293.44 and 1,072.63

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Solution

The fourth proportional to 1,661.89, 2,293.44 and 1,072.63 is: 1,480.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.89 : 2,293.44 = 1,072.63 : x
  2. Step 2: Convert to fraction form
    1,661.89/2,293.44 = 1,072.63/x
  3. Step 3: Cross multiply
    1,661.89x = 2,293.44 × 1,072.63
  4. Step 4: Simplify right side
    1,661.89x = 2,460,012.55
  5. Step 5: Solve for x
    x = 2,460,012.55/1,661.89
  6. Step 6: Final answer
    x = 1,480.25

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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.