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Finding the Fourth Proportional to 11,231.49, 16,851.60 and 4,656

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Solution

The fourth proportional to 11,231.49, 16,851.60 and 4,656 is: 6,985.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,231.49 : 16,851.60 = 4,656 : x
  2. Step 2: Convert to fraction form
    11,231.49/16,851.60 = 4,656/x
  3. Step 3: Cross multiply
    11,231.49x = 16,851.60 × 4,656
  4. Step 4: Simplify right side
    11,231.49x = 78,461,049.60
  5. Step 5: Solve for x
    x = 78,461,049.60/11,231.49
  6. Step 6: Final answer
    x = 6,985.81

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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.