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Finding the Fourth Proportional to 3,846.76, 5,764.70 and 2,977

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Solution

The fourth proportional to 3,846.76, 5,764.70 and 2,977 is: 4,461.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.76 : 5,764.70 = 2,977 : x
  2. Step 2: Convert to fraction form
    3,846.76/5,764.70 = 2,977/x
  3. Step 3: Cross multiply
    3,846.76x = 5,764.70 × 2,977
  4. Step 4: Simplify right side
    3,846.76x = 17,161,511.90
  5. Step 5: Solve for x
    x = 17,161,511.90/3,846.76
  6. Step 6: Final answer
    x = 4,461.29

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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.