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Finding the Fourth Proportional to 19,682.70, 29,530.52 and 7,992.78

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Solution

The fourth proportional to 19,682.70, 29,530.52 and 7,992.78 is: 11,991.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,682.70 : 29,530.52 = 7,992.78 : x
  2. Step 2: Convert to fraction form
    19,682.70/29,530.52 = 7,992.78/x
  3. Step 3: Cross multiply
    19,682.70x = 29,530.52 × 7,992.78
  4. Step 4: Simplify right side
    19,682.70x = 236,030,949.65
  5. Step 5: Solve for x
    x = 236,030,949.65/19,682.70
  6. Step 6: Final answer
    x = 11,991.80

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1.5x scale

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.