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Finding the Fourth Proportional to 5,751.74, 7,941.04 and 3,982.70

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Solution

The fourth proportional to 5,751.74, 7,941.04 and 3,982.70 is: 5,498.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751.74 : 7,941.04 = 3,982.70 : x
  2. Step 2: Convert to fraction form
    5,751.74/7,941.04 = 3,982.70/x
  3. Step 3: Cross multiply
    5,751.74x = 7,941.04 × 3,982.70
  4. Step 4: Simplify right side
    5,751.74x = 31,626,780.01
  5. Step 5: Solve for x
    x = 31,626,780.01/5,751.74
  6. Step 6: Final answer
    x = 5,498.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.