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Finding the Fourth Proportional to 11,494.40, 17,241.60 and 5,649.80

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Solution

The fourth proportional to 11,494.40, 17,241.60 and 5,649.80 is: 8,474.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.40 : 17,241.60 = 5,649.80 : x
  2. Step 2: Convert to fraction form
    11,494.40/17,241.60 = 5,649.80/x
  3. Step 3: Cross multiply
    11,494.40x = 17,241.60 × 5,649.80
  4. Step 4: Simplify right side
    11,494.40x = 97,411,591.68
  5. Step 5: Solve for x
    x = 97,411,591.68/11,494.40
  6. Step 6: Final answer
    x = 8,474.70

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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.