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Finding the Fourth Proportional to 19,699.64, 29,540.82 and 7,379

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Solution

The fourth proportional to 19,699.64, 29,540.82 and 7,379 is: 11,065.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,699.64 : 29,540.82 = 7,379 : x
  2. Step 2: Convert to fraction form
    19,699.64/29,540.82 = 7,379/x
  3. Step 3: Cross multiply
    19,699.64x = 29,540.82 × 7,379
  4. Step 4: Simplify right side
    19,699.64x = 217,981,710.78
  5. Step 5: Solve for x
    x = 217,981,710.78/19,699.64
  6. Step 6: Final answer
    x = 11,065.26

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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.