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Finding the Fourth Proportional to 5,744.77, 7,927.78 and 3,226.88

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Solution

The fourth proportional to 5,744.77, 7,927.78 and 3,226.88 is: 4,453.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.77 : 7,927.78 = 3,226.88 : x
  2. Step 2: Convert to fraction form
    5,744.77/7,927.78 = 3,226.88/x
  3. Step 3: Cross multiply
    5,744.77x = 7,927.78 × 3,226.88
  4. Step 4: Simplify right side
    5,744.77x = 25,582,006.11
  5. Step 5: Solve for x
    x = 25,582,006.11/5,744.77
  6. Step 6: Final answer
    x = 4,453.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.