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Finding the Fourth Proportional to 1,983.39, 2,972.74 and 812.67

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Solution

The fourth proportional to 1,983.39, 2,972.74 and 812.67 is: 1,218.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.39 : 2,972.74 = 812.67 : x
  2. Step 2: Convert to fraction form
    1,983.39/2,972.74 = 812.67/x
  3. Step 3: Cross multiply
    1,983.39x = 2,972.74 × 812.67
  4. Step 4: Simplify right side
    1,983.39x = 2,415,856.62
  5. Step 5: Solve for x
    x = 2,415,856.62/1,983.39
  6. Step 6: Final answer
    x = 1,218.04

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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.