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Finding the Fourth Proportional to 3,305.25, 4,560.98 and 1,978.07

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Solution

The fourth proportional to 3,305.25, 4,560.98 and 1,978.07 is: 2,729.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.25 : 4,560.98 = 1,978.07 : x
  2. Step 2: Convert to fraction form
    3,305.25/4,560.98 = 1,978.07/x
  3. Step 3: Cross multiply
    3,305.25x = 4,560.98 × 1,978.07
  4. Step 4: Simplify right side
    3,305.25x = 9,021,905.01
  5. Step 5: Solve for x
    x = 9,021,905.01/3,305.25
  6. Step 6: Final answer
    x = 2,729.57

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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.