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Finding the Fourth Proportional to 20,998, 31,501.86 and 7,147

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Solution

The fourth proportional to 20,998, 31,501.86 and 7,147 is: 10,722.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,998 : 31,501.86 = 7,147 : x
  2. Step 2: Convert to fraction form
    20,998/31,501.86 = 7,147/x
  3. Step 3: Cross multiply
    20,998x = 31,501.86 × 7,147
  4. Step 4: Simplify right side
    20,998x = 225,143,793.42
  5. Step 5: Solve for x
    x = 225,143,793.42/20,998
  6. Step 6: Final answer
    x = 10,722.15

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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.