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Finding the Fourth Proportional to 19,858.93, 29,789.11 and 9,992.84

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Solution

The fourth proportional to 19,858.93, 29,789.11 and 9,992.84 is: 14,989.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,858.93 : 29,789.11 = 9,992.84 : x
  2. Step 2: Convert to fraction form
    19,858.93/29,789.11 = 9,992.84/x
  3. Step 3: Cross multiply
    19,858.93x = 29,789.11 × 9,992.84
  4. Step 4: Simplify right side
    19,858.93x = 297,677,809.97
  5. Step 5: Solve for x
    x = 297,677,809.97/19,858.93
  6. Step 6: Final answer
    x = 14,989.62

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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.