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Finding the Fourth Proportional to 14,679.36, 21,978 and 11,206.08

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Solution

The fourth proportional to 14,679.36, 21,978 and 11,206.08 is: 16,777.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,679.36 : 21,978 = 11,206.08 : x
  2. Step 2: Convert to fraction form
    14,679.36/21,978 = 11,206.08/x
  3. Step 3: Cross multiply
    14,679.36x = 21,978 × 11,206.08
  4. Step 4: Simplify right side
    14,679.36x = 246,287,226.24
  5. Step 5: Solve for x
    x = 246,287,226.24/14,679.36
  6. Step 6: Final answer
    x = 16,777.79

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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.