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Finding the Fourth Proportional to 5,676.65, 7,834.61 and 3,408.15

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Solution

The fourth proportional to 5,676.65, 7,834.61 and 3,408.15 is: 4,703.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.65 : 7,834.61 = 3,408.15 : x
  2. Step 2: Convert to fraction form
    5,676.65/7,834.61 = 3,408.15/x
  3. Step 3: Cross multiply
    5,676.65x = 7,834.61 × 3,408.15
  4. Step 4: Simplify right side
    5,676.65x = 26,701,504.09
  5. Step 5: Solve for x
    x = 26,701,504.09/5,676.65
  6. Step 6: Final answer
    x = 4,703.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.