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Finding the Fourth Proportional to 6,672.50, 9,208.14 and 3,878

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Solution

The fourth proportional to 6,672.50, 9,208.14 and 3,878 is: 5,351.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,672.50 : 9,208.14 = 3,878 : x
  2. Step 2: Convert to fraction form
    6,672.50/9,208.14 = 3,878/x
  3. Step 3: Cross multiply
    6,672.50x = 9,208.14 × 3,878
  4. Step 4: Simplify right side
    6,672.50x = 35,709,166.92
  5. Step 5: Solve for x
    x = 35,709,166.92/6,672.50
  6. Step 6: Final answer
    x = 5,351.69

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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.