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Finding the Fourth Proportional to 5,756.44, 7,943.79 and 3,398.80

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Solution

The fourth proportional to 5,756.44, 7,943.79 and 3,398.80 is: 4,690.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.44 : 7,943.79 = 3,398.80 : x
  2. Step 2: Convert to fraction form
    5,756.44/7,943.79 = 3,398.80/x
  3. Step 3: Cross multiply
    5,756.44x = 7,943.79 × 3,398.80
  4. Step 4: Simplify right side
    5,756.44x = 26,999,353.45
  5. Step 5: Solve for x
    x = 26,999,353.45/5,756.44
  6. Step 6: Final answer
    x = 4,690.29

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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.