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Finding the Fourth Proportional to 2,279.87, 3,146.17 and 1,285.14

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Solution

The fourth proportional to 2,279.87, 3,146.17 and 1,285.14 is: 1,773.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.87 : 3,146.17 = 1,285.14 : x
  2. Step 2: Convert to fraction form
    2,279.87/3,146.17 = 1,285.14/x
  3. Step 3: Cross multiply
    2,279.87x = 3,146.17 × 1,285.14
  4. Step 4: Simplify right side
    2,279.87x = 4,043,267.45
  5. Step 5: Solve for x
    x = 4,043,267.45/2,279.87
  6. Step 6: Final answer
    x = 1,773.46

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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.