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Finding the Fourth Proportional to 9,778.98, 13,493.58 and 5,472.05

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Solution

The fourth proportional to 9,778.98, 13,493.58 and 5,472.05 is: 7,550.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.98 : 13,493.58 = 5,472.05 : x
  2. Step 2: Convert to fraction form
    9,778.98/13,493.58 = 5,472.05/x
  3. Step 3: Cross multiply
    9,778.98x = 13,493.58 × 5,472.05
  4. Step 4: Simplify right side
    9,778.98x = 73,837,544.44
  5. Step 5: Solve for x
    x = 73,837,544.44/9,778.98
  6. Step 6: Final answer
    x = 7,550.64

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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.