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Finding the Fourth Proportional to 1,672.96, 2,519.08 and 1,383.24

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Solution

The fourth proportional to 1,672.96, 2,519.08 and 1,383.24 is: 2,082.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.96 : 2,519.08 = 1,383.24 : x
  2. Step 2: Convert to fraction form
    1,672.96/2,519.08 = 1,383.24/x
  3. Step 3: Cross multiply
    1,672.96x = 2,519.08 × 1,383.24
  4. Step 4: Simplify right side
    1,672.96x = 3,484,492.22
  5. Step 5: Solve for x
    x = 3,484,492.22/1,672.96
  6. Step 6: Final answer
    x = 2,082.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.