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Finding the Fourth Proportional to 2,801.05, 3,865.80 and 1,809.22

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Solution

The fourth proportional to 2,801.05, 3,865.80 and 1,809.22 is: 2,496.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.05 : 3,865.80 = 1,809.22 : x
  2. Step 2: Convert to fraction form
    2,801.05/3,865.80 = 1,809.22/x
  3. Step 3: Cross multiply
    2,801.05x = 3,865.80 × 1,809.22
  4. Step 4: Simplify right side
    2,801.05x = 6,994,082.68
  5. Step 5: Solve for x
    x = 6,994,082.68/2,801.05
  6. Step 6: Final answer
    x = 2,496.95

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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.