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Finding the Fourth Proportional to 5,149.72, 7,721.81 and 1,638.77

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Solution

The fourth proportional to 5,149.72, 7,721.81 and 1,638.77 is: 2,457.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.72 : 7,721.81 = 1,638.77 : x
  2. Step 2: Convert to fraction form
    5,149.72/7,721.81 = 1,638.77/x
  3. Step 3: Cross multiply
    5,149.72x = 7,721.81 × 1,638.77
  4. Step 4: Simplify right side
    5,149.72x = 12,654,270.57
  5. Step 5: Solve for x
    x = 12,654,270.57/5,149.72
  6. Step 6: Final answer
    x = 2,457.27

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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.