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Finding the Fourth Proportional to 4,744.98, 6,550.47 and 3,253.50

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Solution

The fourth proportional to 4,744.98, 6,550.47 and 3,253.50 is: 4,491.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744.98 : 6,550.47 = 3,253.50 : x
  2. Step 2: Convert to fraction form
    4,744.98/6,550.47 = 3,253.50/x
  3. Step 3: Cross multiply
    4,744.98x = 6,550.47 × 3,253.50
  4. Step 4: Simplify right side
    4,744.98x = 21,311,954.15
  5. Step 5: Solve for x
    x = 21,311,954.15/4,744.98
  6. Step 6: Final answer
    x = 4,491.47

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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.