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Finding the Fourth Proportional to 2,805.93, 3,869.37 and 2,409.03

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Solution

The fourth proportional to 2,805.93, 3,869.37 and 2,409.03 is: 3,322.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.93 : 3,869.37 = 2,409.03 : x
  2. Step 2: Convert to fraction form
    2,805.93/3,869.37 = 2,409.03/x
  3. Step 3: Cross multiply
    2,805.93x = 3,869.37 × 2,409.03
  4. Step 4: Simplify right side
    2,805.93x = 9,321,428.41
  5. Step 5: Solve for x
    x = 9,321,428.41/2,805.93
  6. Step 6: Final answer
    x = 3,322.05

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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.