Home / 1,427.53-1,963.82-1,164.97

Finding the Fourth Proportional to 1,427.53, 1,963.82 and 1,164.97

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Solution

The fourth proportional to 1,427.53, 1,963.82 and 1,164.97 is: 1,602.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.53 : 1,963.82 = 1,164.97 : x
  2. Step 2: Convert to fraction form
    1,427.53/1,963.82 = 1,164.97/x
  3. Step 3: Cross multiply
    1,427.53x = 1,963.82 × 1,164.97
  4. Step 4: Simplify right side
    1,427.53x = 2,287,791.39
  5. Step 5: Solve for x
    x = 2,287,791.39/1,427.53
  6. Step 6: Final answer
    x = 1,602.62

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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.