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Finding the Fourth Proportional to 2,650.88, 3,976.32 and 919.50

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Solution

The fourth proportional to 2,650.88, 3,976.32 and 919.50 is: 1,379.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.88 : 3,976.32 = 919.50 : x
  2. Step 2: Convert to fraction form
    2,650.88/3,976.32 = 919.50/x
  3. Step 3: Cross multiply
    2,650.88x = 3,976.32 × 919.50
  4. Step 4: Simplify right side
    2,650.88x = 3,656,226.24
  5. Step 5: Solve for x
    x = 3,656,226.24/2,650.88
  6. Step 6: Final answer
    x = 1,379.25

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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.