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Finding the Fourth Proportional to 2,093.81, 3,139.84 and 706.81

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Solution

The fourth proportional to 2,093.81, 3,139.84 and 706.81 is: 1,059.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.81 : 3,139.84 = 706.81 : x
  2. Step 2: Convert to fraction form
    2,093.81/3,139.84 = 706.81/x
  3. Step 3: Cross multiply
    2,093.81x = 3,139.84 × 706.81
  4. Step 4: Simplify right side
    2,093.81x = 2,219,270.31
  5. Step 5: Solve for x
    x = 2,219,270.31/2,093.81
  6. Step 6: Final answer
    x = 1,059.92

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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.