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Finding the Fourth Proportional to 3,112.02, 4,668.48 and 920.46

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Solution

The fourth proportional to 3,112.02, 4,668.48 and 920.46 is: 1,380.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.02 : 4,668.48 = 920.46 : x
  2. Step 2: Convert to fraction form
    3,112.02/4,668.48 = 920.46/x
  3. Step 3: Cross multiply
    3,112.02x = 4,668.48 × 920.46
  4. Step 4: Simplify right side
    3,112.02x = 4,297,149.10
  5. Step 5: Solve for x
    x = 4,297,149.10/3,112.02
  6. Step 6: Final answer
    x = 1,380.82

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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.