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Finding the Fourth Proportional to 2,978.13, 4,110.77 and 1,736.37

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Solution

The fourth proportional to 2,978.13, 4,110.77 and 1,736.37 is: 2,396.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.13 : 4,110.77 = 1,736.37 : x
  2. Step 2: Convert to fraction form
    2,978.13/4,110.77 = 1,736.37/x
  3. Step 3: Cross multiply
    2,978.13x = 4,110.77 × 1,736.37
  4. Step 4: Simplify right side
    2,978.13x = 7,137,817.70
  5. Step 5: Solve for x
    x = 7,137,817.70/2,978.13
  6. Step 6: Final answer
    x = 2,396.74

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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.