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Finding the Fourth Proportional to 20,745, 31,117.50 and 6,894

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Solution

The fourth proportional to 20,745, 31,117.50 and 6,894 is: 10,341

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,745 : 31,117.50 = 6,894 : x
  2. Step 2: Convert to fraction form
    20,745/31,117.50 = 6,894/x
  3. Step 3: Cross multiply
    20,745x = 31,117.50 × 6,894
  4. Step 4: Simplify right side
    20,745x = 214,524,045
  5. Step 5: Solve for x
    x = 214,524,045/20,745
  6. Step 6: Final answer
    x = 10,341

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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.