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Finding the Fourth Proportional to 7,834.93, 11,757.86 and 3,449.99

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Solution

The fourth proportional to 7,834.93, 11,757.86 and 3,449.99 is: 5,177.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.93 : 11,757.86 = 3,449.99 : x
  2. Step 2: Convert to fraction form
    7,834.93/11,757.86 = 3,449.99/x
  3. Step 3: Cross multiply
    7,834.93x = 11,757.86 × 3,449.99
  4. Step 4: Simplify right side
    7,834.93x = 40,564,524.50
  5. Step 5: Solve for x
    x = 40,564,524.50/7,834.93
  6. Step 6: Final answer
    x = 5,177.40

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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.