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Finding the Fourth Proportional to 2,842.43, 4,262.63 and 993.40

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Solution

The fourth proportional to 2,842.43, 4,262.63 and 993.40 is: 1,489.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.43 : 4,262.63 = 993.40 : x
  2. Step 2: Convert to fraction form
    2,842.43/4,262.63 = 993.40/x
  3. Step 3: Cross multiply
    2,842.43x = 4,262.63 × 993.40
  4. Step 4: Simplify right side
    2,842.43x = 4,234,481.02
  5. Step 5: Solve for x
    x = 4,234,481.02/2,842.43
  6. Step 6: Final answer
    x = 1,489.74

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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.