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Finding the Fourth Proportional to 5,286.53, 7,926.72 and 1,999.88

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Solution

The fourth proportional to 5,286.53, 7,926.72 and 1,999.88 is: 2,998.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.53 : 7,926.72 = 1,999.88 : x
  2. Step 2: Convert to fraction form
    5,286.53/7,926.72 = 1,999.88/x
  3. Step 3: Cross multiply
    5,286.53x = 7,926.72 × 1,999.88
  4. Step 4: Simplify right side
    5,286.53x = 15,852,478.89
  5. Step 5: Solve for x
    x = 15,852,478.89/5,286.53
  6. Step 6: Final answer
    x = 2,998.66

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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.