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Finding the Fourth Proportional to 2,382.16, 3,573.84 and 738.72

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Solution

The fourth proportional to 2,382.16, 3,573.84 and 738.72 is: 1,108.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.16 : 3,573.84 = 738.72 : x
  2. Step 2: Convert to fraction form
    2,382.16/3,573.84 = 738.72/x
  3. Step 3: Cross multiply
    2,382.16x = 3,573.84 × 738.72
  4. Step 4: Simplify right side
    2,382.16x = 2,640,067.08
  5. Step 5: Solve for x
    x = 2,640,067.08/2,382.16
  6. Step 6: Final answer
    x = 1,108.27

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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.