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Finding the Fourth Proportional to 2,540.14, 3,809.70 and 896.65

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Solution

The fourth proportional to 2,540.14, 3,809.70 and 896.65 is: 1,344.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.14 : 3,809.70 = 896.65 : x
  2. Step 2: Convert to fraction form
    2,540.14/3,809.70 = 896.65/x
  3. Step 3: Cross multiply
    2,540.14x = 3,809.70 × 896.65
  4. Step 4: Simplify right side
    2,540.14x = 3,415,967.51
  5. Step 5: Solve for x
    x = 3,415,967.51/2,540.14
  6. Step 6: Final answer
    x = 1,344.79

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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.