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Finding the Fourth Proportional to 4,932.45, 7,398.63 and 1,422.54

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Solution

The fourth proportional to 4,932.45, 7,398.63 and 1,422.54 is: 2,133.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.45 : 7,398.63 = 1,422.54 : x
  2. Step 2: Convert to fraction form
    4,932.45/7,398.63 = 1,422.54/x
  3. Step 3: Cross multiply
    4,932.45x = 7,398.63 × 1,422.54
  4. Step 4: Simplify right side
    4,932.45x = 10,524,847.12
  5. Step 5: Solve for x
    x = 10,524,847.12/4,932.45
  6. Step 6: Final answer
    x = 2,133.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.