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Finding the Fourth Proportional to 2,636.43, 3,956.20 and 992.93

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Solution

The fourth proportional to 2,636.43, 3,956.20 and 992.93 is: 1,489.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.43 : 3,956.20 = 992.93 : x
  2. Step 2: Convert to fraction form
    2,636.43/3,956.20 = 992.93/x
  3. Step 3: Cross multiply
    2,636.43x = 3,956.20 × 992.93
  4. Step 4: Simplify right side
    2,636.43x = 3,928,229.67
  5. Step 5: Solve for x
    x = 3,928,229.67/2,636.43
  6. Step 6: Final answer
    x = 1,489.98

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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.