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Finding the Fourth Proportional to 2,811.76, 4,209.84 and 1,825.72

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Solution

The fourth proportional to 2,811.76, 4,209.84 and 1,825.72 is: 2,733.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.76 : 4,209.84 = 1,825.72 : x
  2. Step 2: Convert to fraction form
    2,811.76/4,209.84 = 1,825.72/x
  3. Step 3: Cross multiply
    2,811.76x = 4,209.84 × 1,825.72
  4. Step 4: Simplify right side
    2,811.76x = 7,685,978.56
  5. Step 5: Solve for x
    x = 7,685,978.56/2,811.76
  6. Step 6: Final answer
    x = 2,733.51

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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.