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Finding the Fourth Proportional to 5,638.60, 8,458.31 and 1,743.31

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Solution

The fourth proportional to 5,638.60, 8,458.31 and 1,743.31 is: 2,615.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.60 : 8,458.31 = 1,743.31 : x
  2. Step 2: Convert to fraction form
    5,638.60/8,458.31 = 1,743.31/x
  3. Step 3: Cross multiply
    5,638.60x = 8,458.31 × 1,743.31
  4. Step 4: Simplify right side
    5,638.60x = 14,745,456.41
  5. Step 5: Solve for x
    x = 14,745,456.41/5,638.60
  6. Step 6: Final answer
    x = 2,615.09

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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.