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Finding the Fourth Proportional to 20,859.78, 31,291.59 and 6,819.89

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Solution

The fourth proportional to 20,859.78, 31,291.59 and 6,819.89 is: 10,230.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,859.78 : 31,291.59 = 6,819.89 : x
  2. Step 2: Convert to fraction form
    20,859.78/31,291.59 = 6,819.89/x
  3. Step 3: Cross multiply
    20,859.78x = 31,291.59 × 6,819.89
  4. Step 4: Simplify right side
    20,859.78x = 213,405,070.84
  5. Step 5: Solve for x
    x = 213,405,070.84/20,859.78
  6. Step 6: Final answer
    x = 10,230.45

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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.