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Finding the Fourth Proportional to 2,818.42, 3,888.48 and 1,824.97

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Solution

The fourth proportional to 2,818.42, 3,888.48 and 1,824.97 is: 2,517.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.42 : 3,888.48 = 1,824.97 : x
  2. Step 2: Convert to fraction form
    2,818.42/3,888.48 = 1,824.97/x
  3. Step 3: Cross multiply
    2,818.42x = 3,888.48 × 1,824.97
  4. Step 4: Simplify right side
    2,818.42x = 7,096,359.35
  5. Step 5: Solve for x
    x = 7,096,359.35/2,818.42
  6. Step 6: Final answer
    x = 2,517.85

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1.5x scale

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.