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Finding the Fourth Proportional to 6,412.40, 9,625.80 and 3,816.80

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Solution

The fourth proportional to 6,412.40, 9,625.80 and 3,816.80 is: 5,729.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.40 : 9,625.80 = 3,816.80 : x
  2. Step 2: Convert to fraction form
    6,412.40/9,625.80 = 3,816.80/x
  3. Step 3: Cross multiply
    6,412.40x = 9,625.80 × 3,816.80
  4. Step 4: Simplify right side
    6,412.40x = 36,739,753.44
  5. Step 5: Solve for x
    x = 36,739,753.44/6,412.40
  6. Step 6: Final answer
    x = 5,729.49

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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.