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Finding the Fourth Proportional to 2,818.24, 3,887.18 and 1,824.64

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Solution

The fourth proportional to 2,818.24, 3,887.18 and 1,824.64 is: 2,516.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.24 : 3,887.18 = 1,824.64 : x
  2. Step 2: Convert to fraction form
    2,818.24/3,887.18 = 1,824.64/x
  3. Step 3: Cross multiply
    2,818.24x = 3,887.18 × 1,824.64
  4. Step 4: Simplify right side
    2,818.24x = 7,092,704.12
  5. Step 5: Solve for x
    x = 7,092,704.12/2,818.24
  6. Step 6: Final answer
    x = 2,516.71

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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.