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Finding the Fourth Proportional to 5,278.82, 7,910.82 and 4,103.44

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Solution

The fourth proportional to 5,278.82, 7,910.82 and 4,103.44 is: 6,149.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,278.82 : 7,910.82 = 4,103.44 : x
  2. Step 2: Convert to fraction form
    5,278.82/7,910.82 = 4,103.44/x
  3. Step 3: Cross multiply
    5,278.82x = 7,910.82 × 4,103.44
  4. Step 4: Simplify right side
    5,278.82x = 32,461,555.44
  5. Step 5: Solve for x
    x = 32,461,555.44/5,278.82
  6. Step 6: Final answer
    x = 6,149.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.