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Finding the Fourth Proportional to 2,777.98, 4,163.30 and 1,544.74

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Solution

The fourth proportional to 2,777.98, 4,163.30 and 1,544.74 is: 2,315.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.98 : 4,163.30 = 1,544.74 : x
  2. Step 2: Convert to fraction form
    2,777.98/4,163.30 = 1,544.74/x
  3. Step 3: Cross multiply
    2,777.98x = 4,163.30 × 1,544.74
  4. Step 4: Simplify right side
    2,777.98x = 6,431,216.04
  5. Step 5: Solve for x
    x = 6,431,216.04/2,777.98
  6. Step 6: Final answer
    x = 2,315.07

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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.