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Finding the Fourth Proportional to 11,178.81, 16,772.99 and 4,164.01

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Solution

The fourth proportional to 11,178.81, 16,772.99 and 4,164.01 is: 6,247.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,178.81 : 16,772.99 = 4,164.01 : x
  2. Step 2: Convert to fraction form
    11,178.81/16,772.99 = 4,164.01/x
  3. Step 3: Cross multiply
    11,178.81x = 16,772.99 × 4,164.01
  4. Step 4: Simplify right side
    11,178.81x = 69,842,835.34
  5. Step 5: Solve for x
    x = 69,842,835.34/11,178.81
  6. Step 6: Final answer
    x = 6,247.79

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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.