Home / 2,553.90-3,830-1,092.66

Finding the Fourth Proportional to 2,553.90, 3,830 and 1,092.66

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Solution

The fourth proportional to 2,553.90, 3,830 and 1,092.66 is: 1,638.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.90 : 3,830 = 1,092.66 : x
  2. Step 2: Convert to fraction form
    2,553.90/3,830 = 1,092.66/x
  3. Step 3: Cross multiply
    2,553.90x = 3,830 × 1,092.66
  4. Step 4: Simplify right side
    2,553.90x = 4,184,887.80
  5. Step 5: Solve for x
    x = 4,184,887.80/2,553.90
  6. Step 6: Final answer
    x = 1,638.63

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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.