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Finding the Fourth Proportional to 20,894.70, 31,320.04 and 6,851.07

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Solution

The fourth proportional to 20,894.70, 31,320.04 and 6,851.07 is: 10,269.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,894.70 : 31,320.04 = 6,851.07 : x
  2. Step 2: Convert to fraction form
    20,894.70/31,320.04 = 6,851.07/x
  3. Step 3: Cross multiply
    20,894.70x = 31,320.04 × 6,851.07
  4. Step 4: Simplify right side
    20,894.70x = 214,575,786.44
  5. Step 5: Solve for x
    x = 214,575,786.44/20,894.70
  6. Step 6: Final answer
    x = 10,269.39

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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.