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Finding the Fourth Proportional to 2,183.46, 3,275.19 and 540

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Solution

The fourth proportional to 2,183.46, 3,275.19 and 540 is: 810

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.46 : 3,275.19 = 540 : x
  2. Step 2: Convert to fraction form
    2,183.46/3,275.19 = 540/x
  3. Step 3: Cross multiply
    2,183.46x = 3,275.19 × 540
  4. Step 4: Simplify right side
    2,183.46x = 1,768,602.60
  5. Step 5: Solve for x
    x = 1,768,602.60/2,183.46
  6. Step 6: Final answer
    x = 810

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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.