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Finding the Fourth Proportional to 5,149.33, 7,721.06 and 1,638.65

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Solution

The fourth proportional to 5,149.33, 7,721.06 and 1,638.65 is: 2,457.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.33 : 7,721.06 = 1,638.65 : x
  2. Step 2: Convert to fraction form
    5,149.33/7,721.06 = 1,638.65/x
  3. Step 3: Cross multiply
    5,149.33x = 7,721.06 × 1,638.65
  4. Step 4: Simplify right side
    5,149.33x = 12,652,126.08
  5. Step 5: Solve for x
    x = 12,652,126.08/5,149.33
  6. Step 6: Final answer
    x = 2,457.04

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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.