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Finding the Fourth Proportional to 2,866.34, 3,953.66 and 1,819.82

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Solution

The fourth proportional to 2,866.34, 3,953.66 and 1,819.82 is: 2,510.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.34 : 3,953.66 = 1,819.82 : x
  2. Step 2: Convert to fraction form
    2,866.34/3,953.66 = 1,819.82/x
  3. Step 3: Cross multiply
    2,866.34x = 3,953.66 × 1,819.82
  4. Step 4: Simplify right side
    2,866.34x = 7,194,949.54
  5. Step 5: Solve for x
    x = 7,194,949.54/2,866.34
  6. Step 6: Final answer
    x = 2,510.15

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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.