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Finding the Fourth Proportional to 6,398.40, 9,596.97 and 2,237.64

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Solution

The fourth proportional to 6,398.40, 9,596.97 and 2,237.64 is: 3,356.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.40 : 9,596.97 = 2,237.64 : x
  2. Step 2: Convert to fraction form
    6,398.40/9,596.97 = 2,237.64/x
  3. Step 3: Cross multiply
    6,398.40x = 9,596.97 × 2,237.64
  4. Step 4: Simplify right side
    6,398.40x = 21,474,563.95
  5. Step 5: Solve for x
    x = 21,474,563.95/6,398.40
  6. Step 6: Final answer
    x = 3,356.24

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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.