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Finding the Fourth Proportional to 4,550.78, 6,822.11 and 1,776.81

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Solution

The fourth proportional to 4,550.78, 6,822.11 and 1,776.81 is: 2,663.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,550.78 : 6,822.11 = 1,776.81 : x
  2. Step 2: Convert to fraction form
    4,550.78/6,822.11 = 1,776.81/x
  3. Step 3: Cross multiply
    4,550.78x = 6,822.11 × 1,776.81
  4. Step 4: Simplify right side
    4,550.78x = 12,121,554.72
  5. Step 5: Solve for x
    x = 12,121,554.72/4,550.78
  6. Step 6: Final answer
    x = 2,663.62

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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.