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Finding the Fourth Proportional to 2,813.64, 3,881.52 and 1,819.24

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Solution

The fourth proportional to 2,813.64, 3,881.52 and 1,819.24 is: 2,509.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.64 : 3,881.52 = 1,819.24 : x
  2. Step 2: Convert to fraction form
    2,813.64/3,881.52 = 1,819.24/x
  3. Step 3: Cross multiply
    2,813.64x = 3,881.52 × 1,819.24
  4. Step 4: Simplify right side
    2,813.64x = 7,061,416.44
  5. Step 5: Solve for x
    x = 7,061,416.44/2,813.64
  6. Step 6: Final answer
    x = 2,509.71

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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.