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Finding the Fourth Proportional to 1,978.97, 2,968.36 and 746.36

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Solution

The fourth proportional to 1,978.97, 2,968.36 and 746.36 is: 1,119.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.97 : 2,968.36 = 746.36 : x
  2. Step 2: Convert to fraction form
    1,978.97/2,968.36 = 746.36/x
  3. Step 3: Cross multiply
    1,978.97x = 2,968.36 × 746.36
  4. Step 4: Simplify right side
    1,978.97x = 2,215,448.46
  5. Step 5: Solve for x
    x = 2,215,448.46/1,978.97
  6. Step 6: Final answer
    x = 1,119.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.