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Finding the Fourth Proportional to 11,199.36, 16,802.64 and 7,311.36

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Solution

The fourth proportional to 11,199.36, 16,802.64 and 7,311.36 is: 10,969.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,199.36 : 16,802.64 = 7,311.36 : x
  2. Step 2: Convert to fraction form
    11,199.36/16,802.64 = 7,311.36/x
  3. Step 3: Cross multiply
    11,199.36x = 16,802.64 × 7,311.36
  4. Step 4: Simplify right side
    11,199.36x = 122,850,149.99
  5. Step 5: Solve for x
    x = 122,850,149.99/11,199.36
  6. Step 6: Final answer
    x = 10,969.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.