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Finding the Fourth Proportional to 1,414.12, 1,950.72 and 1,082.08

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Solution

The fourth proportional to 1,414.12, 1,950.72 and 1,082.08 is: 1,492.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.12 : 1,950.72 = 1,082.08 : x
  2. Step 2: Convert to fraction form
    1,414.12/1,950.72 = 1,082.08/x
  3. Step 3: Cross multiply
    1,414.12x = 1,950.72 × 1,082.08
  4. Step 4: Simplify right side
    1,414.12x = 2,110,835.10
  5. Step 5: Solve for x
    x = 2,110,835.10/1,414.12
  6. Step 6: Final answer
    x = 1,492.68

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