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Finding the Fourth Proportional to 3,650.82, 5,028 and 3,463.08

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Solution

The fourth proportional to 3,650.82, 5,028 and 3,463.08 is: 4,769.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.82 : 5,028 = 3,463.08 : x
  2. Step 2: Convert to fraction form
    3,650.82/5,028 = 3,463.08/x
  3. Step 3: Cross multiply
    3,650.82x = 5,028 × 3,463.08
  4. Step 4: Simplify right side
    3,650.82x = 17,412,366.24
  5. Step 5: Solve for x
    x = 17,412,366.24/3,650.82
  6. Step 6: Final answer
    x = 4,769.44

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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.