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Finding the Fourth Proportional to 2,382.38, 3,573.90 and 739.05

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Solution

The fourth proportional to 2,382.38, 3,573.90 and 739.05 is: 1,108.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.38 : 3,573.90 = 739.05 : x
  2. Step 2: Convert to fraction form
    2,382.38/3,573.90 = 739.05/x
  3. Step 3: Cross multiply
    2,382.38x = 3,573.90 × 739.05
  4. Step 4: Simplify right side
    2,382.38x = 2,641,290.80
  5. Step 5: Solve for x
    x = 2,641,290.80/2,382.38
  6. Step 6: Final answer
    x = 1,108.68

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1.5x scale

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.