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Finding the Fourth Proportional to 2,651.88, 3,977.82 and 920.50

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Solution

The fourth proportional to 2,651.88, 3,977.82 and 920.50 is: 1,380.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.88 : 3,977.82 = 920.50 : x
  2. Step 2: Convert to fraction form
    2,651.88/3,977.82 = 920.50/x
  3. Step 3: Cross multiply
    2,651.88x = 3,977.82 × 920.50
  4. Step 4: Simplify right side
    2,651.88x = 3,661,583.31
  5. Step 5: Solve for x
    x = 3,661,583.31/2,651.88
  6. Step 6: Final answer
    x = 1,380.75

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Half scale
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Double scale
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Similar ratio
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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.