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Finding the Fourth Proportional to 3,100.77, 4,649.52 and 1,784.25

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Solution

The fourth proportional to 3,100.77, 4,649.52 and 1,784.25 is: 2,675.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.77 : 4,649.52 = 1,784.25 : x
  2. Step 2: Convert to fraction form
    3,100.77/4,649.52 = 1,784.25/x
  3. Step 3: Cross multiply
    3,100.77x = 4,649.52 × 1,784.25
  4. Step 4: Simplify right side
    3,100.77x = 8,295,906.06
  5. Step 5: Solve for x
    x = 8,295,906.06/3,100.77
  6. Step 6: Final answer
    x = 2,675.43

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