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Finding the Fourth Proportional to 3,768.82, 5,656.68 and 1,921.26

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Solution

The fourth proportional to 3,768.82, 5,656.68 and 1,921.26 is: 2,883.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.82 : 5,656.68 = 1,921.26 : x
  2. Step 2: Convert to fraction form
    3,768.82/5,656.68 = 1,921.26/x
  3. Step 3: Cross multiply
    3,768.82x = 5,656.68 × 1,921.26
  4. Step 4: Simplify right side
    3,768.82x = 10,867,953.02
  5. Step 5: Solve for x
    x = 10,867,953.02/3,768.82
  6. Step 6: Final answer
    x = 2,883.65

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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.