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Finding the Fourth Proportional to 1,939.55, 2,909.10 and 1,825.34

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Solution

The fourth proportional to 1,939.55, 2,909.10 and 1,825.34 is: 2,737.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,939.55 : 2,909.10 = 1,825.34 : x
  2. Step 2: Convert to fraction form
    1,939.55/2,909.10 = 1,825.34/x
  3. Step 3: Cross multiply
    1,939.55x = 2,909.10 × 1,825.34
  4. Step 4: Simplify right side
    1,939.55x = 5,310,082.05
  5. Step 5: Solve for x
    x = 5,310,082.05/1,939.55
  6. Step 6: Final answer
    x = 2,737.80

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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.