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Finding the Fourth Proportional to 2,042.81, 3,062.90 and 873.58

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Solution

The fourth proportional to 2,042.81, 3,062.90 and 873.58 is: 1,309.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.81 : 3,062.90 = 873.58 : x
  2. Step 2: Convert to fraction form
    2,042.81/3,062.90 = 873.58/x
  3. Step 3: Cross multiply
    2,042.81x = 3,062.90 × 873.58
  4. Step 4: Simplify right side
    2,042.81x = 2,675,668.50
  5. Step 5: Solve for x
    x = 2,675,668.50/2,042.81
  6. Step 6: Final answer
    x = 1,309.80

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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.