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Finding the Fourth Proportional to 3,100.82, 4,278.02 and 1,840.90

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Solution

The fourth proportional to 3,100.82, 4,278.02 and 1,840.90 is: 2,539.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.82 : 4,278.02 = 1,840.90 : x
  2. Step 2: Convert to fraction form
    3,100.82/4,278.02 = 1,840.90/x
  3. Step 3: Cross multiply
    3,100.82x = 4,278.02 × 1,840.90
  4. Step 4: Simplify right side
    3,100.82x = 7,875,407.02
  5. Step 5: Solve for x
    x = 7,875,407.02/3,100.82
  6. Step 6: Final answer
    x = 2,539.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.