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Finding the Fourth Proportional to 5,786.40, 7,985.13 and 3,133.80

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Solution

The fourth proportional to 5,786.40, 7,985.13 and 3,133.80 is: 4,324.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.40 : 7,985.13 = 3,133.80 : x
  2. Step 2: Convert to fraction form
    5,786.40/7,985.13 = 3,133.80/x
  3. Step 3: Cross multiply
    5,786.40x = 7,985.13 × 3,133.80
  4. Step 4: Simplify right side
    5,786.40x = 25,023,800.39
  5. Step 5: Solve for x
    x = 25,023,800.39/5,786.40
  6. Step 6: Final answer
    x = 4,324.59

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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.