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Finding the Fourth Proportional to 7,226.20, 9,964.99 and 4,922.56

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Solution

The fourth proportional to 7,226.20, 9,964.99 and 4,922.56 is: 6,788.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226.20 : 9,964.99 = 4,922.56 : x
  2. Step 2: Convert to fraction form
    7,226.20/9,964.99 = 4,922.56/x
  3. Step 3: Cross multiply
    7,226.20x = 9,964.99 × 4,922.56
  4. Step 4: Simplify right side
    7,226.20x = 49,053,261.17
  5. Step 5: Solve for x
    x = 49,053,261.17/7,226.20
  6. Step 6: Final answer
    x = 6,788.25

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