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Finding the Fourth Proportional to 2,918.08, 4,380.24 and 1,382.24

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Solution

The fourth proportional to 2,918.08, 4,380.24 and 1,382.24 is: 2,074.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,918.08 : 4,380.24 = 1,382.24 : x
  2. Step 2: Convert to fraction form
    2,918.08/4,380.24 = 1,382.24/x
  3. Step 3: Cross multiply
    2,918.08x = 4,380.24 × 1,382.24
  4. Step 4: Simplify right side
    2,918.08x = 6,054,542.94
  5. Step 5: Solve for x
    x = 6,054,542.94/2,918.08
  6. Step 6: Final answer
    x = 2,074.84

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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.