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Finding the Fourth Proportional to 5,776.44, 7,972.38 and 3,685.56

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Solution

The fourth proportional to 5,776.44, 7,972.38 and 3,685.56 is: 5,086.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.44 : 7,972.38 = 3,685.56 : x
  2. Step 2: Convert to fraction form
    5,776.44/7,972.38 = 3,685.56/x
  3. Step 3: Cross multiply
    5,776.44x = 7,972.38 × 3,685.56
  4. Step 4: Simplify right side
    5,776.44x = 29,382,684.83
  5. Step 5: Solve for x
    x = 29,382,684.83/5,776.44
  6. Step 6: Final answer
    x = 5,086.64

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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.