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Finding the Fourth Proportional to 3,751.84, 5,174.40 and 2,744.80

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Solution

The fourth proportional to 3,751.84, 5,174.40 and 2,744.80 is: 3,785.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.84 : 5,174.40 = 2,744.80 : x
  2. Step 2: Convert to fraction form
    3,751.84/5,174.40 = 2,744.80/x
  3. Step 3: Cross multiply
    3,751.84x = 5,174.40 × 2,744.80
  4. Step 4: Simplify right side
    3,751.84x = 14,202,693.12
  5. Step 5: Solve for x
    x = 14,202,693.12/3,751.84
  6. Step 6: Final answer
    x = 3,785.53

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1.5x scale

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.