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Finding the Fourth Proportional to 1,930.51, 2,662.90 and 1,144

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Solution

The fourth proportional to 1,930.51, 2,662.90 and 1,144 is: 1,578.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.51 : 2,662.90 = 1,144 : x
  2. Step 2: Convert to fraction form
    1,930.51/2,662.90 = 1,144/x
  3. Step 3: Cross multiply
    1,930.51x = 2,662.90 × 1,144
  4. Step 4: Simplify right side
    1,930.51x = 3,046,357.60
  5. Step 5: Solve for x
    x = 3,046,357.60/1,930.51
  6. Step 6: Final answer
    x = 1,578.01

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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.