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Finding the Fourth Proportional to 3,164.76, 4,367.14 and 1,905.57

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Solution

The fourth proportional to 3,164.76, 4,367.14 and 1,905.57 is: 2,629.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.76 : 4,367.14 = 1,905.57 : x
  2. Step 2: Convert to fraction form
    3,164.76/4,367.14 = 1,905.57/x
  3. Step 3: Cross multiply
    3,164.76x = 4,367.14 × 1,905.57
  4. Step 4: Simplify right side
    3,164.76x = 8,321,890.97
  5. Step 5: Solve for x
    x = 8,321,890.97/3,164.76
  6. Step 6: Final answer
    x = 2,629.55

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Half scale
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Double scale
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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.