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Finding the Fourth Proportional to 4,550.46, 6,826.14 and 1,777.56

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Solution

The fourth proportional to 4,550.46, 6,826.14 and 1,777.56 is: 2,666.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,550.46 : 6,826.14 = 1,777.56 : x
  2. Step 2: Convert to fraction form
    4,550.46/6,826.14 = 1,777.56/x
  3. Step 3: Cross multiply
    4,550.46x = 6,826.14 × 1,777.56
  4. Step 4: Simplify right side
    4,550.46x = 12,133,873.42
  5. Step 5: Solve for x
    x = 12,133,873.42/4,550.46
  6. Step 6: Final answer
    x = 2,666.52

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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.