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Finding the Fourth Proportional to 11,133.10, 16,700.78 and 4,114.99

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Solution

The fourth proportional to 11,133.10, 16,700.78 and 4,114.99 is: 6,172.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,133.10 : 16,700.78 = 4,114.99 : x
  2. Step 2: Convert to fraction form
    11,133.10/16,700.78 = 4,114.99/x
  3. Step 3: Cross multiply
    11,133.10x = 16,700.78 × 4,114.99
  4. Step 4: Simplify right side
    11,133.10x = 68,723,542.69
  5. Step 5: Solve for x
    x = 68,723,542.69/11,133.10
  6. Step 6: Final answer
    x = 6,172.90

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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.