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Finding the Fourth Proportional to 11,209.56, 16,809.12 and 3,812.01

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Solution

The fourth proportional to 11,209.56, 16,809.12 and 3,812.01 is: 5,716.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,209.56 : 16,809.12 = 3,812.01 : x
  2. Step 2: Convert to fraction form
    11,209.56/16,809.12 = 3,812.01/x
  3. Step 3: Cross multiply
    11,209.56x = 16,809.12 × 3,812.01
  4. Step 4: Simplify right side
    11,209.56x = 64,076,533.53
  5. Step 5: Solve for x
    x = 64,076,533.53/11,209.56
  6. Step 6: Final answer
    x = 5,716.24

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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.