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Finding the Fourth Proportional to 6,436.37, 9,638.22 and 5,393.63

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Solution

The fourth proportional to 6,436.37, 9,638.22 and 5,393.63 is: 8,076.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.37 : 9,638.22 = 5,393.63 : x
  2. Step 2: Convert to fraction form
    6,436.37/9,638.22 = 5,393.63/x
  3. Step 3: Cross multiply
    6,436.37x = 9,638.22 × 5,393.63
  4. Step 4: Simplify right side
    6,436.37x = 51,984,992.54
  5. Step 5: Solve for x
    x = 51,984,992.54/6,436.37
  6. Step 6: Final answer
    x = 8,076.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.