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Finding the Fourth Proportional to 3,728.34, 5,590.76 and 1,261.49

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Solution

The fourth proportional to 3,728.34, 5,590.76 and 1,261.49 is: 1,891.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.34 : 5,590.76 = 1,261.49 : x
  2. Step 2: Convert to fraction form
    3,728.34/5,590.76 = 1,261.49/x
  3. Step 3: Cross multiply
    3,728.34x = 5,590.76 × 1,261.49
  4. Step 4: Simplify right side
    3,728.34x = 7,052,653.57
  5. Step 5: Solve for x
    x = 7,052,653.57/3,728.34
  6. Step 6: Final answer
    x = 1,891.63

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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.