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Finding the Fourth Proportional to 6,424.35, 9,644.42 and 4,234.92

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Solution

The fourth proportional to 6,424.35, 9,644.42 and 4,234.92 is: 6,357.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.35 : 9,644.42 = 4,234.92 : x
  2. Step 2: Convert to fraction form
    6,424.35/9,644.42 = 4,234.92/x
  3. Step 3: Cross multiply
    6,424.35x = 9,644.42 × 4,234.92
  4. Step 4: Simplify right side
    6,424.35x = 40,843,347.15
  5. Step 5: Solve for x
    x = 40,843,347.15/6,424.35
  6. Step 6: Final answer
    x = 6,357.58

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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.