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Finding the Fourth Proportional to 12,814.72, 19,222.08 and 5,027.20

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Solution

The fourth proportional to 12,814.72, 19,222.08 and 5,027.20 is: 7,540.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.72 : 19,222.08 = 5,027.20 : x
  2. Step 2: Convert to fraction form
    12,814.72/19,222.08 = 5,027.20/x
  3. Step 3: Cross multiply
    12,814.72x = 19,222.08 × 5,027.20
  4. Step 4: Simplify right side
    12,814.72x = 96,633,240.58
  5. Step 5: Solve for x
    x = 96,633,240.58/12,814.72
  6. Step 6: Final answer
    x = 7,540.80

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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.