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Finding the Fourth Proportional to 2,813.90, 3,881.86 and 1,819.49

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Solution

The fourth proportional to 2,813.90, 3,881.86 and 1,819.49 is: 2,510.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.90 : 3,881.86 = 1,819.49 : x
  2. Step 2: Convert to fraction form
    2,813.90/3,881.86 = 1,819.49/x
  3. Step 3: Cross multiply
    2,813.90x = 3,881.86 × 1,819.49
  4. Step 4: Simplify right side
    2,813.90x = 7,062,981.49
  5. Step 5: Solve for x
    x = 7,062,981.49/2,813.90
  6. Step 6: Final answer
    x = 2,510.04

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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.