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Finding the Fourth Proportional to 2,431.80, 3,643.11 and 1,939.14

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Solution

The fourth proportional to 2,431.80, 3,643.11 and 1,939.14 is: 2,905.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.80 : 3,643.11 = 1,939.14 : x
  2. Step 2: Convert to fraction form
    2,431.80/3,643.11 = 1,939.14/x
  3. Step 3: Cross multiply
    2,431.80x = 3,643.11 × 1,939.14
  4. Step 4: Simplify right side
    2,431.80x = 7,064,500.33
  5. Step 5: Solve for x
    x = 7,064,500.33/2,431.80
  6. Step 6: Final answer
    x = 2,905.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.