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Finding the Fourth Proportional to 2,804.30, 3,869.14 and 1,809.20

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Solution

The fourth proportional to 2,804.30, 3,869.14 and 1,809.20 is: 2,496.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.30 : 3,869.14 = 1,809.20 : x
  2. Step 2: Convert to fraction form
    2,804.30/3,869.14 = 1,809.20/x
  3. Step 3: Cross multiply
    2,804.30x = 3,869.14 × 1,809.20
  4. Step 4: Simplify right side
    2,804.30x = 7,000,048.09
  5. Step 5: Solve for x
    x = 7,000,048.09/2,804.30
  6. Step 6: Final answer
    x = 2,496.18

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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.