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Finding the Fourth Proportional to 2,164.12, 3,243.62 and 993.14

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Solution

The fourth proportional to 2,164.12, 3,243.62 and 993.14 is: 1,488.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.12 : 3,243.62 = 993.14 : x
  2. Step 2: Convert to fraction form
    2,164.12/3,243.62 = 993.14/x
  3. Step 3: Cross multiply
    2,164.12x = 3,243.62 × 993.14
  4. Step 4: Simplify right side
    2,164.12x = 3,221,365.80
  5. Step 5: Solve for x
    x = 3,221,365.80/2,164.12
  6. Step 6: Final answer
    x = 1,488.53

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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.