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Finding the Fourth Proportional to 3,009.87, 4,514.81 and 1,976.40

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Solution

The fourth proportional to 3,009.87, 4,514.81 and 1,976.40 is: 2,964.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.87 : 4,514.81 = 1,976.40 : x
  2. Step 2: Convert to fraction form
    3,009.87/4,514.81 = 1,976.40/x
  3. Step 3: Cross multiply
    3,009.87x = 4,514.81 × 1,976.40
  4. Step 4: Simplify right side
    3,009.87x = 8,923,060.60
  5. Step 5: Solve for x
    x = 8,923,060.60/3,009.87
  6. Step 6: Final answer
    x = 2,964.60

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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.