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Finding the Fourth Proportional to 3,901.96, 5,382.90 and 2,245

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Solution

The fourth proportional to 3,901.96, 5,382.90 and 2,245 is: 3,097.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.96 : 5,382.90 = 2,245 : x
  2. Step 2: Convert to fraction form
    3,901.96/5,382.90 = 2,245/x
  3. Step 3: Cross multiply
    3,901.96x = 5,382.90 × 2,245
  4. Step 4: Simplify right side
    3,901.96x = 12,084,610.50
  5. Step 5: Solve for x
    x = 12,084,610.50/3,901.96
  6. Step 6: Final answer
    x = 3,097.06

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1.5x scale

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.