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Finding the Fourth Proportional to 2,095.42, 3,143.06 and 1,123.42

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Solution

The fourth proportional to 2,095.42, 3,143.06 and 1,123.42 is: 1,685.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.42 : 3,143.06 = 1,123.42 : x
  2. Step 2: Convert to fraction form
    2,095.42/3,143.06 = 1,123.42/x
  3. Step 3: Cross multiply
    2,095.42x = 3,143.06 × 1,123.42
  4. Step 4: Simplify right side
    2,095.42x = 3,530,976.47
  5. Step 5: Solve for x
    x = 3,530,976.47/2,095.42
  6. Step 6: Final answer
    x = 1,685.09

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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.