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Finding the Fourth Proportional to 3,902.28, 5,384.28 and 2,329.80

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Solution

The fourth proportional to 3,902.28, 5,384.28 and 2,329.80 is: 3,214.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.28 : 5,384.28 = 2,329.80 : x
  2. Step 2: Convert to fraction form
    3,902.28/5,384.28 = 2,329.80/x
  3. Step 3: Cross multiply
    3,902.28x = 5,384.28 × 2,329.80
  4. Step 4: Simplify right side
    3,902.28x = 12,544,295.54
  5. Step 5: Solve for x
    x = 12,544,295.54/3,902.28
  6. Step 6: Final answer
    x = 3,214.61

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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.