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Finding the Fourth Proportional to 3,260.75, 4,890.87 and 920.66

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Solution

The fourth proportional to 3,260.75, 4,890.87 and 920.66 is: 1,380.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,260.75 : 4,890.87 = 920.66 : x
  2. Step 2: Convert to fraction form
    3,260.75/4,890.87 = 920.66/x
  3. Step 3: Cross multiply
    3,260.75x = 4,890.87 × 920.66
  4. Step 4: Simplify right side
    3,260.75x = 4,502,803.92
  5. Step 5: Solve for x
    x = 4,502,803.92/3,260.75
  6. Step 6: Final answer
    x = 1,380.91

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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.