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Finding the Fourth Proportional to 2,708.07, 3,734.91 and 1,914.07

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Solution

The fourth proportional to 2,708.07, 3,734.91 and 1,914.07 is: 2,639.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.07 : 3,734.91 = 1,914.07 : x
  2. Step 2: Convert to fraction form
    2,708.07/3,734.91 = 1,914.07/x
  3. Step 3: Cross multiply
    2,708.07x = 3,734.91 × 1,914.07
  4. Step 4: Simplify right side
    2,708.07x = 7,148,869.85
  5. Step 5: Solve for x
    x = 7,148,869.85/2,708.07
  6. Step 6: Final answer
    x = 2,639.84

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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.