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Finding the Fourth Proportional to 3,400.30, 5,101.65 and 3,280.30

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Solution

The fourth proportional to 3,400.30, 5,101.65 and 3,280.30 is: 4,921.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.30 : 5,101.65 = 3,280.30 : x
  2. Step 2: Convert to fraction form
    3,400.30/5,101.65 = 3,280.30/x
  3. Step 3: Cross multiply
    3,400.30x = 5,101.65 × 3,280.30
  4. Step 4: Simplify right side
    3,400.30x = 16,734,942.50
  5. Step 5: Solve for x
    x = 16,734,942.50/3,400.30
  6. Step 6: Final answer
    x = 4,921.61

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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.