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Finding the Fourth Proportional to 1,978.21, 2,968.10 and 745.97

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Solution

The fourth proportional to 1,978.21, 2,968.10 and 745.97 is: 1,119.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.21 : 2,968.10 = 745.97 : x
  2. Step 2: Convert to fraction form
    1,978.21/2,968.10 = 745.97/x
  3. Step 3: Cross multiply
    1,978.21x = 2,968.10 × 745.97
  4. Step 4: Simplify right side
    1,978.21x = 2,214,101.98
  5. Step 5: Solve for x
    x = 2,214,101.98/1,978.21
  6. Step 6: Final answer
    x = 1,119.25

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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.