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Finding the Fourth Proportional to 2,800.47, 4,197.24 and 2,452.98

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Solution

The fourth proportional to 2,800.47, 4,197.24 and 2,452.98 is: 3,676.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.47 : 4,197.24 = 2,452.98 : x
  2. Step 2: Convert to fraction form
    2,800.47/4,197.24 = 2,452.98/x
  3. Step 3: Cross multiply
    2,800.47x = 4,197.24 × 2,452.98
  4. Step 4: Simplify right side
    2,800.47x = 10,295,745.78
  5. Step 5: Solve for x
    x = 10,295,745.78/2,800.47
  6. Step 6: Final answer
    x = 3,676.43

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1.5x scale

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.