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Finding the Fourth Proportional to 1,082.68, 1,492.96 and 1,021.12

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Solution

The fourth proportional to 1,082.68, 1,492.96 and 1,021.12 is: 1,408.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.68 : 1,492.96 = 1,021.12 : x
  2. Step 2: Convert to fraction form
    1,082.68/1,492.96 = 1,021.12/x
  3. Step 3: Cross multiply
    1,082.68x = 1,492.96 × 1,021.12
  4. Step 4: Simplify right side
    1,082.68x = 1,524,491.32
  5. Step 5: Solve for x
    x = 1,524,491.32/1,082.68
  6. Step 6: Final answer
    x = 1,408.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.