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Finding the Fourth Proportional to 19,978.59, 29,933.87 and 11,191.71

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Solution

The fourth proportional to 19,978.59, 29,933.87 and 11,191.71 is: 16,768.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,978.59 : 29,933.87 = 11,191.71 : x
  2. Step 2: Convert to fraction form
    19,978.59/29,933.87 = 11,191.71/x
  3. Step 3: Cross multiply
    19,978.59x = 29,933.87 × 11,191.71
  4. Step 4: Simplify right side
    19,978.59x = 335,011,136.26
  5. Step 5: Solve for x
    x = 335,011,136.26/19,978.59
  6. Step 6: Final answer
    x = 16,768.51

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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.