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Finding the Fourth Proportional to 3,888.82, 5,832.60 and 1,424.80

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Solution

The fourth proportional to 3,888.82, 5,832.60 and 1,424.80 is: 2,136.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.82 : 5,832.60 = 1,424.80 : x
  2. Step 2: Convert to fraction form
    3,888.82/5,832.60 = 1,424.80/x
  3. Step 3: Cross multiply
    3,888.82x = 5,832.60 × 1,424.80
  4. Step 4: Simplify right side
    3,888.82x = 8,310,288.48
  5. Step 5: Solve for x
    x = 8,310,288.48/3,888.82
  6. Step 6: Final answer
    x = 2,136.97

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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.