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Finding the Fourth Proportional to 20,790.92, 31,191 and 5,998.68

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Solution

The fourth proportional to 20,790.92, 31,191 and 5,998.68 is: 8,999.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,790.92 : 31,191 = 5,998.68 : x
  2. Step 2: Convert to fraction form
    20,790.92/31,191 = 5,998.68/x
  3. Step 3: Cross multiply
    20,790.92x = 31,191 × 5,998.68
  4. Step 4: Simplify right side
    20,790.92x = 187,104,827.88
  5. Step 5: Solve for x
    x = 187,104,827.88/20,790.92
  6. Step 6: Final answer
    x = 8,999.35

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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.