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Finding the Fourth Proportional to 3,105.63, 4,658.49 and 765.63

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Solution

The fourth proportional to 3,105.63, 4,658.49 and 765.63 is: 1,148.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.63 : 4,658.49 = 765.63 : x
  2. Step 2: Convert to fraction form
    3,105.63/4,658.49 = 765.63/x
  3. Step 3: Cross multiply
    3,105.63x = 4,658.49 × 765.63
  4. Step 4: Simplify right side
    3,105.63x = 3,566,679.70
  5. Step 5: Solve for x
    x = 3,566,679.70/3,105.63
  6. Step 6: Final answer
    x = 1,148.46

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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.