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Finding the Fourth Proportional to 2,164.37, 3,246.77 and 994.16

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Solution

The fourth proportional to 2,164.37, 3,246.77 and 994.16 is: 1,491.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.37 : 3,246.77 = 994.16 : x
  2. Step 2: Convert to fraction form
    2,164.37/3,246.77 = 994.16/x
  3. Step 3: Cross multiply
    2,164.37x = 3,246.77 × 994.16
  4. Step 4: Simplify right side
    2,164.37x = 3,227,819.47
  5. Step 5: Solve for x
    x = 3,227,819.47/2,164.37
  6. Step 6: Final answer
    x = 1,491.35

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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.