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Finding the Fourth Proportional to 3,850.92, 5,776.33 and 929.21

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Solution

The fourth proportional to 3,850.92, 5,776.33 and 929.21 is: 1,393.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.92 : 5,776.33 = 929.21 : x
  2. Step 2: Convert to fraction form
    3,850.92/5,776.33 = 929.21/x
  3. Step 3: Cross multiply
    3,850.92x = 5,776.33 × 929.21
  4. Step 4: Simplify right side
    3,850.92x = 5,367,423.60
  5. Step 5: Solve for x
    x = 5,367,423.60/3,850.92
  6. Step 6: Final answer
    x = 1,393.80

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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.