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Finding the Fourth Proportional to 6,672.78, 10,012.61 and 2,977.44

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Solution

The fourth proportional to 6,672.78, 10,012.61 and 2,977.44 is: 4,467.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,672.78 : 10,012.61 = 2,977.44 : x
  2. Step 2: Convert to fraction form
    6,672.78/10,012.61 = 2,977.44/x
  3. Step 3: Cross multiply
    6,672.78x = 10,012.61 × 2,977.44
  4. Step 4: Simplify right side
    6,672.78x = 29,811,930.63
  5. Step 5: Solve for x
    x = 29,811,930.63/6,672.78
  6. Step 6: Final answer
    x = 4,467.69

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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.