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Finding the Fourth Proportional to 2,769.33, 4,154.69 and 920.45

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Solution

The fourth proportional to 2,769.33, 4,154.69 and 920.45 is: 1,380.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.33 : 4,154.69 = 920.45 : x
  2. Step 2: Convert to fraction form
    2,769.33/4,154.69 = 920.45/x
  3. Step 3: Cross multiply
    2,769.33x = 4,154.69 × 920.45
  4. Step 4: Simplify right side
    2,769.33x = 3,824,159.03
  5. Step 5: Solve for x
    x = 3,824,159.03/2,769.33
  6. Step 6: Final answer
    x = 1,380.90

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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.