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Finding the Fourth Proportional to 2,978.06, 4,109.49 and 1,633.44

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Solution

The fourth proportional to 2,978.06, 4,109.49 and 1,633.44 is: 2,254.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.06 : 4,109.49 = 1,633.44 : x
  2. Step 2: Convert to fraction form
    2,978.06/4,109.49 = 1,633.44/x
  3. Step 3: Cross multiply
    2,978.06x = 4,109.49 × 1,633.44
  4. Step 4: Simplify right side
    2,978.06x = 6,712,620.76
  5. Step 5: Solve for x
    x = 6,712,620.76/2,978.06
  6. Step 6: Final answer
    x = 2,254.03

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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.