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Finding the Fourth Proportional to 19,690.91, 29,520.02 and 7,837.37

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Solution

The fourth proportional to 19,690.91, 29,520.02 and 7,837.37 is: 11,749.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,690.91 : 29,520.02 = 7,837.37 : x
  2. Step 2: Convert to fraction form
    19,690.91/29,520.02 = 7,837.37/x
  3. Step 3: Cross multiply
    19,690.91x = 29,520.02 × 7,837.37
  4. Step 4: Simplify right side
    19,690.91x = 231,359,132.36
  5. Step 5: Solve for x
    x = 231,359,132.36/19,690.91
  6. Step 6: Final answer
    x = 11,749.54

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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.