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Finding the Fourth Proportional to 6,422.49, 9,633.74 and 4,203.20

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Solution

The fourth proportional to 6,422.49, 9,633.74 and 4,203.20 is: 6,304.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.49 : 9,633.74 = 4,203.20 : x
  2. Step 2: Convert to fraction form
    6,422.49/9,633.74 = 4,203.20/x
  3. Step 3: Cross multiply
    6,422.49x = 9,633.74 × 4,203.20
  4. Step 4: Simplify right side
    6,422.49x = 40,492,535.97
  5. Step 5: Solve for x
    x = 40,492,535.97/6,422.49
  6. Step 6: Final answer
    x = 6,304.80

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Similar ratio
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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.