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Finding the Fourth Proportional to 5,796.77, 8,000.37 and 3,438.45

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Solution

The fourth proportional to 5,796.77, 8,000.37 and 3,438.45 is: 4,745.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.77 : 8,000.37 = 3,438.45 : x
  2. Step 2: Convert to fraction form
    5,796.77/8,000.37 = 3,438.45/x
  3. Step 3: Cross multiply
    5,796.77x = 8,000.37 × 3,438.45
  4. Step 4: Simplify right side
    5,796.77x = 27,508,872.23
  5. Step 5: Solve for x
    x = 27,508,872.23/5,796.77
  6. Step 6: Final answer
    x = 4,745.56

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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.