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Finding the Fourth Proportional to 2,976.75, 4,109.64 and 2,279.43

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Solution

The fourth proportional to 2,976.75, 4,109.64 and 2,279.43 is: 3,146.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.75 : 4,109.64 = 2,279.43 : x
  2. Step 2: Convert to fraction form
    2,976.75/4,109.64 = 2,279.43/x
  3. Step 3: Cross multiply
    2,976.75x = 4,109.64 × 2,279.43
  4. Step 4: Simplify right side
    2,976.75x = 9,367,636.71
  5. Step 5: Solve for x
    x = 9,367,636.71/2,976.75
  6. Step 6: Final answer
    x = 3,146.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.