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Finding the Fourth Proportional to 2,520.26, 3,774.92 and 1,219

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Solution

The fourth proportional to 2,520.26, 3,774.92 and 1,219 is: 1,825.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.26 : 3,774.92 = 1,219 : x
  2. Step 2: Convert to fraction form
    2,520.26/3,774.92 = 1,219/x
  3. Step 3: Cross multiply
    2,520.26x = 3,774.92 × 1,219
  4. Step 4: Simplify right side
    2,520.26x = 4,601,627.48
  5. Step 5: Solve for x
    x = 4,601,627.48/2,520.26
  6. Step 6: Final answer
    x = 1,825.85

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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.