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Finding the Fourth Proportional to 11,178.81, 16,770.81 and 3,281.01

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Solution

The fourth proportional to 11,178.81, 16,770.81 and 3,281.01 is: 4,922.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,178.81 : 16,770.81 = 3,281.01 : x
  2. Step 2: Convert to fraction form
    11,178.81/16,770.81 = 3,281.01/x
  3. Step 3: Cross multiply
    11,178.81x = 16,770.81 × 3,281.01
  4. Step 4: Simplify right side
    11,178.81x = 55,025,195.32
  5. Step 5: Solve for x
    x = 55,025,195.32/11,178.81
  6. Step 6: Final answer
    x = 4,922.28

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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.