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Finding the Fourth Proportional to 6,338.54, 8,749 and 3,687

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Solution

The fourth proportional to 6,338.54, 8,749 and 3,687 is: 5,089.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.54 : 8,749 = 3,687 : x
  2. Step 2: Convert to fraction form
    6,338.54/8,749 = 3,687/x
  3. Step 3: Cross multiply
    6,338.54x = 8,749 × 3,687
  4. Step 4: Simplify right side
    6,338.54x = 32,257,563
  5. Step 5: Solve for x
    x = 32,257,563/6,338.54
  6. Step 6: Final answer
    x = 5,089.12

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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.