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Finding the Fourth Proportional to 1,990.85, 2,978.77 and 1,788.75

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Solution

The fourth proportional to 1,990.85, 2,978.77 and 1,788.75 is: 2,676.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.85 : 2,978.77 = 1,788.75 : x
  2. Step 2: Convert to fraction form
    1,990.85/2,978.77 = 1,788.75/x
  3. Step 3: Cross multiply
    1,990.85x = 2,978.77 × 1,788.75
  4. Step 4: Simplify right side
    1,990.85x = 5,328,274.84
  5. Step 5: Solve for x
    x = 5,328,274.84/1,990.85
  6. Step 6: Final answer
    x = 2,676.38

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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.