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Finding the Fourth Proportional to 5,723, 7,897.86 and 3,239

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Solution

The fourth proportional to 5,723, 7,897.86 and 3,239 is: 4,469.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723 : 7,897.86 = 3,239 : x
  2. Step 2: Convert to fraction form
    5,723/7,897.86 = 3,239/x
  3. Step 3: Cross multiply
    5,723x = 7,897.86 × 3,239
  4. Step 4: Simplify right side
    5,723x = 25,581,168.54
  5. Step 5: Solve for x
    x = 25,581,168.54/5,723
  6. Step 6: Final answer
    x = 4,469.89

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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.