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Finding the Fourth Proportional to 3,811.64, 5,717.64 and 1,214.76

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Solution

The fourth proportional to 3,811.64, 5,717.64 and 1,214.76 is: 1,822.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.64 : 5,717.64 = 1,214.76 : x
  2. Step 2: Convert to fraction form
    3,811.64/5,717.64 = 1,214.76/x
  3. Step 3: Cross multiply
    3,811.64x = 5,717.64 × 1,214.76
  4. Step 4: Simplify right side
    3,811.64x = 6,945,560.37
  5. Step 5: Solve for x
    x = 6,945,560.37/3,811.64
  6. Step 6: Final answer
    x = 1,822.20

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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.