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Finding the Fourth Proportional to 2,977, 4,108.26 and 1,650.91

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Solution

The fourth proportional to 2,977, 4,108.26 and 1,650.91 is: 2,278.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977 : 4,108.26 = 1,650.91 : x
  2. Step 2: Convert to fraction form
    2,977/4,108.26 = 1,650.91/x
  3. Step 3: Cross multiply
    2,977x = 4,108.26 × 1,650.91
  4. Step 4: Simplify right side
    2,977x = 6,782,367.52
  5. Step 5: Solve for x
    x = 6,782,367.52/2,977
  6. Step 6: Final answer
    x = 2,278.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.