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Finding the Fourth Proportional to 29,057, 40,098.66 and 15,809

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Solution

The fourth proportional to 29,057, 40,098.66 and 15,809 is: 21,816.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,057 : 40,098.66 = 15,809 : x
  2. Step 2: Convert to fraction form
    29,057/40,098.66 = 15,809/x
  3. Step 3: Cross multiply
    29,057x = 40,098.66 × 15,809
  4. Step 4: Simplify right side
    29,057x = 633,919,715.94
  5. Step 5: Solve for x
    x = 633,919,715.94/29,057
  6. Step 6: Final answer
    x = 21,816.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.