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Finding the Fourth Proportional to 2,163.81, 3,244.68 and 993.51

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Solution

The fourth proportional to 2,163.81, 3,244.68 and 993.51 is: 1,489.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.81 : 3,244.68 = 993.51 : x
  2. Step 2: Convert to fraction form
    2,163.81/3,244.68 = 993.51/x
  3. Step 3: Cross multiply
    2,163.81x = 3,244.68 × 993.51
  4. Step 4: Simplify right side
    2,163.81x = 3,223,622.03
  5. Step 5: Solve for x
    x = 3,223,622.03/2,163.81
  6. Step 6: Final answer
    x = 1,489.79

Related Problems

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Half scale
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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.