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Finding the Fourth Proportional to 4,945.48, 7,418.90 and 1,825.09

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Solution

The fourth proportional to 4,945.48, 7,418.90 and 1,825.09 is: 2,737.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,945.48 : 7,418.90 = 1,825.09 : x
  2. Step 2: Convert to fraction form
    4,945.48/7,418.90 = 1,825.09/x
  3. Step 3: Cross multiply
    4,945.48x = 7,418.90 × 1,825.09
  4. Step 4: Simplify right side
    4,945.48x = 13,540,160.20
  5. Step 5: Solve for x
    x = 13,540,160.20/4,945.48
  6. Step 6: Final answer
    x = 2,737.89

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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.