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Finding the Fourth Proportional to 19,992.92, 29,977.08 and 13,760.50

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Solution

The fourth proportional to 19,992.92, 29,977.08 and 13,760.50 is: 20,632.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,992.92 : 29,977.08 = 13,760.50 : x
  2. Step 2: Convert to fraction form
    19,992.92/29,977.08 = 13,760.50/x
  3. Step 3: Cross multiply
    19,992.92x = 29,977.08 × 13,760.50
  4. Step 4: Simplify right side
    19,992.92x = 412,499,609.34
  5. Step 5: Solve for x
    x = 412,499,609.34/19,992.92
  6. Step 6: Final answer
    x = 20,632.28

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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.