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Finding the Fourth Proportional to 3,538, 5,307 and 1,229.50

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Solution

The fourth proportional to 3,538, 5,307 and 1,229.50 is: 1,844.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538 : 5,307 = 1,229.50 : x
  2. Step 2: Convert to fraction form
    3,538/5,307 = 1,229.50/x
  3. Step 3: Cross multiply
    3,538x = 5,307 × 1,229.50
  4. Step 4: Simplify right side
    3,538x = 6,524,956.50
  5. Step 5: Solve for x
    x = 6,524,956.50/3,538
  6. Step 6: Final answer
    x = 1,844.25

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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.