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Finding the Fourth Proportional to 5,723.77, 7,897.89 and 3,205.99

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Solution

The fourth proportional to 5,723.77, 7,897.89 and 3,205.99 is: 4,423.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723.77 : 7,897.89 = 3,205.99 : x
  2. Step 2: Convert to fraction form
    5,723.77/7,897.89 = 3,205.99/x
  3. Step 3: Cross multiply
    5,723.77x = 7,897.89 × 3,205.99
  4. Step 4: Simplify right side
    5,723.77x = 25,320,556.36
  5. Step 5: Solve for x
    x = 25,320,556.36/5,723.77
  6. Step 6: Final answer
    x = 4,423.76

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1.5x scale

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.