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Finding the Fourth Proportional to 14,129.28, 21,205.44 and 7,205.76

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Solution

The fourth proportional to 14,129.28, 21,205.44 and 7,205.76 is: 10,814.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,129.28 : 21,205.44 = 7,205.76 : x
  2. Step 2: Convert to fraction form
    14,129.28/21,205.44 = 7,205.76/x
  3. Step 3: Cross multiply
    14,129.28x = 21,205.44 × 7,205.76
  4. Step 4: Simplify right side
    14,129.28x = 152,801,311.33
  5. Step 5: Solve for x
    x = 152,801,311.33/14,129.28
  6. Step 6: Final answer
    x = 10,814.52

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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.