Home / 2,543.49-3,816.85-1,082.64

Finding the Fourth Proportional to 2,543.49, 3,816.85 and 1,082.64

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Solution

The fourth proportional to 2,543.49, 3,816.85 and 1,082.64 is: 1,624.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.49 : 3,816.85 = 1,082.64 : x
  2. Step 2: Convert to fraction form
    2,543.49/3,816.85 = 1,082.64/x
  3. Step 3: Cross multiply
    2,543.49x = 3,816.85 × 1,082.64
  4. Step 4: Simplify right side
    2,543.49x = 4,132,274.48
  5. Step 5: Solve for x
    x = 4,132,274.48/2,543.49
  6. Step 6: Final answer
    x = 1,624.65

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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.