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Finding the Fourth Proportional to 2,769.57, 4,152.75 and 920.19

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Solution

The fourth proportional to 2,769.57, 4,152.75 and 920.19 is: 1,379.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.57 : 4,152.75 = 920.19 : x
  2. Step 2: Convert to fraction form
    2,769.57/4,152.75 = 920.19/x
  3. Step 3: Cross multiply
    2,769.57x = 4,152.75 × 920.19
  4. Step 4: Simplify right side
    2,769.57x = 3,821,319.02
  5. Step 5: Solve for x
    x = 3,821,319.02/2,769.57
  6. Step 6: Final answer
    x = 1,379.75

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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.