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Finding the Fourth Proportional to 6,915.95, 10,351.46 and 3,788.09

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Solution

The fourth proportional to 6,915.95, 10,351.46 and 3,788.09 is: 5,669.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915.95 : 10,351.46 = 3,788.09 : x
  2. Step 2: Convert to fraction form
    6,915.95/10,351.46 = 3,788.09/x
  3. Step 3: Cross multiply
    6,915.95x = 10,351.46 × 3,788.09
  4. Step 4: Simplify right side
    6,915.95x = 39,212,262.11
  5. Step 5: Solve for x
    x = 39,212,262.11/6,915.95
  6. Step 6: Final answer
    x = 5,669.83

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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.