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Finding the Fourth Proportional to 5,676.43, 7,834.16 and 3,438.25

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Solution

The fourth proportional to 5,676.43, 7,834.16 and 3,438.25 is: 4,745.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.43 : 7,834.16 = 3,438.25 : x
  2. Step 2: Convert to fraction form
    5,676.43/7,834.16 = 3,438.25/x
  3. Step 3: Cross multiply
    5,676.43x = 7,834.16 × 3,438.25
  4. Step 4: Simplify right side
    5,676.43x = 26,935,789.63
  5. Step 5: Solve for x
    x = 26,935,789.63/5,676.43
  6. Step 6: Final answer
    x = 4,745.20

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1.5x scale

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.