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Finding the Fourth Proportional to 9,649.44, 13,316.85 and 5,400.99

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Solution

The fourth proportional to 9,649.44, 13,316.85 and 5,400.99 is: 7,453.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.44 : 13,316.85 = 5,400.99 : x
  2. Step 2: Convert to fraction form
    9,649.44/13,316.85 = 5,400.99/x
  3. Step 3: Cross multiply
    9,649.44x = 13,316.85 × 5,400.99
  4. Step 4: Simplify right side
    9,649.44x = 71,924,173.68
  5. Step 5: Solve for x
    x = 71,924,173.68/9,649.44
  6. Step 6: Final answer
    x = 7,453.71

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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.