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Finding the Fourth Proportional to 2,571.65, 3,540.17 and 2,256.36

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Solution

The fourth proportional to 2,571.65, 3,540.17 and 2,256.36 is: 3,106.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.65 : 3,540.17 = 2,256.36 : x
  2. Step 2: Convert to fraction form
    2,571.65/3,540.17 = 2,256.36/x
  3. Step 3: Cross multiply
    2,571.65x = 3,540.17 × 2,256.36
  4. Step 4: Simplify right side
    2,571.65x = 7,987,890.35
  5. Step 5: Solve for x
    x = 7,987,890.35/2,571.65
  6. Step 6: Final answer
    x = 3,106.14

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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.