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Finding the Fourth Proportional to 21,294.92, 31,942.68 and 8,147.96

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Solution

The fourth proportional to 21,294.92, 31,942.68 and 8,147.96 is: 12,222.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,294.92 : 31,942.68 = 8,147.96 : x
  2. Step 2: Convert to fraction form
    21,294.92/31,942.68 = 8,147.96/x
  3. Step 3: Cross multiply
    21,294.92x = 31,942.68 × 8,147.96
  4. Step 4: Simplify right side
    21,294.92x = 260,267,678.93
  5. Step 5: Solve for x
    x = 260,267,678.93/21,294.92
  6. Step 6: Final answer
    x = 12,222.05

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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.