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Finding the Fourth Proportional to 2,082.06, 3,123.15 and 714.06

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Solution

The fourth proportional to 2,082.06, 3,123.15 and 714.06 is: 1,071.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.06 : 3,123.15 = 714.06 : x
  2. Step 2: Convert to fraction form
    2,082.06/3,123.15 = 714.06/x
  3. Step 3: Cross multiply
    2,082.06x = 3,123.15 × 714.06
  4. Step 4: Simplify right side
    2,082.06x = 2,230,116.49
  5. Step 5: Solve for x
    x = 2,230,116.49/2,082.06
  6. Step 6: Final answer
    x = 1,071.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.