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Finding the Fourth Proportional to 1,968.51, 2,716.51 and 1,084.29

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Solution

The fourth proportional to 1,968.51, 2,716.51 and 1,084.29 is: 1,496.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.51 : 2,716.51 = 1,084.29 : x
  2. Step 2: Convert to fraction form
    1,968.51/2,716.51 = 1,084.29/x
  3. Step 3: Cross multiply
    1,968.51x = 2,716.51 × 1,084.29
  4. Step 4: Simplify right side
    1,968.51x = 2,945,484.63
  5. Step 5: Solve for x
    x = 2,945,484.63/1,968.51
  6. Step 6: Final answer
    x = 1,496.30

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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.