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Finding the Fourth Proportional to 11,164.59, 16,750.77 and 7,431.36

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Solution

The fourth proportional to 11,164.59, 16,750.77 and 7,431.36 is: 11,149.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.59 : 16,750.77 = 7,431.36 : x
  2. Step 2: Convert to fraction form
    11,164.59/16,750.77 = 7,431.36/x
  3. Step 3: Cross multiply
    11,164.59x = 16,750.77 × 7,431.36
  4. Step 4: Simplify right side
    11,164.59x = 124,481,002.15
  5. Step 5: Solve for x
    x = 124,481,002.15/11,164.59
  6. Step 6: Final answer
    x = 11,149.63

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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.