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Finding the Fourth Proportional to 7,851, 11,780.82 and 3,747

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Solution

The fourth proportional to 7,851, 11,780.82 and 3,747 is: 5,622.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851 : 11,780.82 = 3,747 : x
  2. Step 2: Convert to fraction form
    7,851/11,780.82 = 3,747/x
  3. Step 3: Cross multiply
    7,851x = 11,780.82 × 3,747
  4. Step 4: Simplify right side
    7,851x = 44,142,732.54
  5. Step 5: Solve for x
    x = 44,142,732.54/7,851
  6. Step 6: Final answer
    x = 5,622.56

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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.