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Finding the Fourth Proportional to 2,082.83, 3,124.17 and 522.85

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Solution

The fourth proportional to 2,082.83, 3,124.17 and 522.85 is: 784.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.83 : 3,124.17 = 522.85 : x
  2. Step 2: Convert to fraction form
    2,082.83/3,124.17 = 522.85/x
  3. Step 3: Cross multiply
    2,082.83x = 3,124.17 × 522.85
  4. Step 4: Simplify right side
    2,082.83x = 1,633,464.47
  5. Step 5: Solve for x
    x = 1,633,464.47/2,082.83
  6. Step 6: Final answer
    x = 784.25

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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.