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Finding the Fourth Proportional to 2,183.82, 3,275.68 and 540.34

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Solution

The fourth proportional to 2,183.82, 3,275.68 and 540.34 is: 810.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.82 : 3,275.68 = 540.34 : x
  2. Step 2: Convert to fraction form
    2,183.82/3,275.68 = 540.34/x
  3. Step 3: Cross multiply
    2,183.82x = 3,275.68 × 540.34
  4. Step 4: Simplify right side
    2,183.82x = 1,769,980.93
  5. Step 5: Solve for x
    x = 1,769,980.93/2,183.82
  6. Step 6: Final answer
    x = 810.50

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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.