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Finding the Fourth Proportional to 1,417.91, 1,952.35 and 1,082.11

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Solution

The fourth proportional to 1,417.91, 1,952.35 and 1,082.11 is: 1,489.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.91 : 1,952.35 = 1,082.11 : x
  2. Step 2: Convert to fraction form
    1,417.91/1,952.35 = 1,082.11/x
  3. Step 3: Cross multiply
    1,417.91x = 1,952.35 × 1,082.11
  4. Step 4: Simplify right side
    1,417.91x = 2,112,659.62
  5. Step 5: Solve for x
    x = 2,112,659.62/1,417.91
  6. Step 6: Final answer
    x = 1,489.99

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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.