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Finding the Fourth Proportional to 2,750.24, 3,794.50 and 1,571.24

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Solution

The fourth proportional to 2,750.24, 3,794.50 and 1,571.24 is: 2,167.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.24 : 3,794.50 = 1,571.24 : x
  2. Step 2: Convert to fraction form
    2,750.24/3,794.50 = 1,571.24/x
  3. Step 3: Cross multiply
    2,750.24x = 3,794.50 × 1,571.24
  4. Step 4: Simplify right side
    2,750.24x = 5,962,070.18
  5. Step 5: Solve for x
    x = 5,962,070.18/2,750.24
  6. Step 6: Final answer
    x = 2,167.84

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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.