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Finding the Fourth Proportional to 2,541, 3,811.50 and 809.76

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Solution

The fourth proportional to 2,541, 3,811.50 and 809.76 is: 1,214.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541 : 3,811.50 = 809.76 : x
  2. Step 2: Convert to fraction form
    2,541/3,811.50 = 809.76/x
  3. Step 3: Cross multiply
    2,541x = 3,811.50 × 809.76
  4. Step 4: Simplify right side
    2,541x = 3,086,400.24
  5. Step 5: Solve for x
    x = 3,086,400.24/2,541
  6. Step 6: Final answer
    x = 1,214.64

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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.