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Finding the Fourth Proportional to 2,082.87, 3,124.07 and 543.99

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Solution

The fourth proportional to 2,082.87, 3,124.07 and 543.99 is: 815.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.87 : 3,124.07 = 543.99 : x
  2. Step 2: Convert to fraction form
    2,082.87/3,124.07 = 543.99/x
  3. Step 3: Cross multiply
    2,082.87x = 3,124.07 × 543.99
  4. Step 4: Simplify right side
    2,082.87x = 1,699,460.12
  5. Step 5: Solve for x
    x = 1,699,460.12/2,082.87
  6. Step 6: Final answer
    x = 815.92

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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.